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Students are asked to find the value of x in a set of problems involving equations with positive and negative coefficients and constants, including forms like 35+5x=3x+41 and -2x+77=-9x+98. The materials provide solutions demonstrating step-by-step simplification and isolation of x to reach final numeric values for each 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do you need to do in each problem?","Question",{"text":112,"@type":113},"Find the value of x by solving the given balanced linear equation.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do the problems handle negative coefficients and constants?",{"text":117,"@type":113},"They include equations such as -2x + 77 = -9x + 98 and -5x + 105 = -14x + 168, so students must keep track of negative signs when simplifying and isolating x.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the correct answers be found?",{"text":121,"@type":113},"The document includes an “Answer Key” section that lists the solutions for problems 1 through 12.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},468567,1792856832,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},1374391975076,"https://ap-avatar.wpscdn.com/avatar/14000253ca4ec9f6853?x-image-process=image/resize,m_fixed,w_180,h_180&k=1783305029341752051","Determining Variable Value to Balance Equations Name:  \n\n| Find the value of x.\u003Cbr>1) 35 + 5x = 3x + 41\u003Cbr>3) 76 + -1x = -9x + 116\u003Cbr>5) 4x + 74 = -6x + 114\u003Cbr>7) 41 + 5x = 65 + -3x\u003Cbr>9) -2x + 83 = 115-6x | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8)\u003Cbr>10) | -2x + 77 = -9x + 98\u003Cbr>-2x + 92 = -11x + 182\u003Cbr>-5x + 105 = -14x + 168\u003Cbr>39-3x = 55-11x\u003Cbr>66-4x = 96-14x | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10.\u003Cbr>11.\u003Cbr>12. | Answers |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n| 11) -4x + 71 = 113-11x | 12) | 5x + 29 = -3x + 77 |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17  \nDetermining Variable Value to Balance Equations Name: Answer Key  \n\n| Find the value of x. |  |  |  |  |  |  |  | Answers |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) | 35 + 5x = 3x + 41\u003Cbr>2x = 6\u003Cbr>x = 3 |  | 2) -2x + 77 = -9x + 98\u003Cbr>7x = 21\u003Cbr>x = 3 |  |  |  |  | 1.  3  |  |  |  |  |  |  |\n| 3)\u003Cbr>5)\u003Cbr>7)\u003Cbr>9) | 76 + -1x = -9x + 116 8x = 40\u003Cbr>x = 5\u003Cbr>4x + 74 = -6x + 114 10x = 40\u003Cbr>x = 4\u003Cbr>41 + 5x = 65 + -3x\u003Cbr>8x = 24\u003Cbr>x = 3\u003Cbr>-2x + 83 = 115-6x |  | 4) -2x + 92 = -11x + 182\u003Cbr>9x = 90\u003Cbr>x = 10\u003Cbr>6) -5x + 105 = -14x + 168\u003Cbr>9x = 63\u003Cbr>x = 7\u003Cbr>8) 39-3x = 55-11x\u003Cbr>8x = 16\u003Cbr>x = 2\u003Cbr>10) 66-4x = 96-14x |  |  |  |  | 2.  3  3.  5  4.  10  5.  4  6.  7  7.  3  8.  2  9.  8  10.  3  11.  6 \u003Cbr>12.  6  |  |  |  |  |  |  |\n|  | 4x = 32 10x = 30 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | x = 8 x = 3 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | -4x + 71 = 113-11x 12) 5x + 29 = -3x + 77 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | 7x = 42 8x = 48 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | x = 6 x = 6 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | Seed: 893571088-146 1-10\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) 11-12 |  | 92 | 83 | 75 | 67 |  | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |\n\nDetermining Variable Value to Balance Equations Name:  \n\n| Find the value of x. |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 5 10 7 3 2 3 4 3 |  |  |  |  |  |  |  |  |  |\n| 1) 35 + 5x = 3x + 41 2) -2x + 77 = -9x + 98\u003Cbr>3) 76 + -1x = -9x + 116 4) -2x + 92 = -11x + 182\u003Cbr>5) 4x + 74 = -6x + 114 6) -5x + 105 = -14x + 168\u003Cbr>7) 41 + 5x = 65 + -3x 8) 39-3x = 55-11x |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 | 75 |  | 63 | 50 | 38 | 25 | 13 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)","cbCais7U18ggGI9z","https://ap.wps.com/l/cbCais7U18ggGI9z","pdf",43040,"English","# Find the value of x\n## Equations with positive and negative terms\n## Answer key","[{\"question\":\"What do you need to do in each problem?\",\"answer\":\"Find the value of x by solving the given balanced linear equation.\"},{\"question\":\"How do the problems handle negative coefficients and constants?\",\"answer\":\"They include equations such as -2x + 77 = -9x + 98 and -5x + 105 = -14x + 168, so students must keep track of negative signs when simplifying and isolating x.\"},{\"question\":\"Where can the correct answers be found?\",\"answer\":\"The document includes an “Answer Key” section that lists the solutions for problems 1 through 12.\"}]","Determining Variable Value to Balance Equations - Find the value of x | PDF",1790774392]