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Simplifying 15X + -19 + 4X + 53 + -8X = 2X + -43 + 86 + 9X + 35 + -1X Reorder the terms: -19 + 53 + 15X + 4X + -8X = 2X + -43 + 86 + 9X + 35 + -1X Combine like terms: -19 + 53 = 34 34 + 15X + 4X + -8X = 2X + -43 + 86 + 9X + 35 + -1X Combine like terms: 15X + 4X = 19X 34 + 19X + -8X = 2X + -43 + 86 + 9X + 35 + -1X Combine like terms: 19X + -8X = 11X 34 + 11X = 2X + -43 + 86 + 9X + 35 + -1X Reorder the terms: 34 + 11X = -43 + 86 + 35 + 2X + 9X + -1X Combine like terms: -43 + 86 = 43 34 + 11X = 43 + 35 + 2X + 9X + -1X Combine like terms: 43 + 35 = 78 34 + 11X = 78 + 2X + 9X + -1X Combine like terms: 2X + 9X = 11X 34 + 11X = 78 + 11X + -1X Combine like terms: 11X + -1X = 10X 34 + 11X = 78 + 10X Solving 34 + 11X = 78 + 10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. 34 + 11X + -10X = 78 + 10X + -10X Combine like terms: 11X + -10X = 1X 34 + 1X = 78 + 10X + -10X Combine like terms: 10X + -10X = 0 34 + 1X = 78 + 0 34 + 1X = 78 Add '-34' to each side of the equation. 34 + -34 + 1X = 78 + -34 Combine like terms: 34 + -34 = 0 0 + 1X = 78 + -34 1X = 78 + -34 Combine like terms: 78 + -34 = 44 1X = 44 Divide each side by '1'. X = 44 Simplifying X = 44
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