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Simplifying -12x + -102 = 5x + 170 Reorder the terms: -102 + -12x = 5x + 170 Reorder the terms: -102 + -12x = 170 + 5x Solving -102 + -12x = 170 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -102 + -12x + -5x = 170 + 5x + -5x Combine like terms: -12x + -5x = -17x -102 + -17x = 170 + 5x + -5x Combine like terms: 5x + -5x = 0 -102 + -17x = 170 + 0 -102 + -17x = 170 Add '102' to each side of the equation. -102 + 102 + -17x = 170 + 102 Combine like terms: -102 + 102 = 0 0 + -17x = 170 + 102 -17x = 170 + 102 Combine like terms: 170 + 102 = 272 -17x = 272 Divide each side by '-17'. x = -16 Simplifying x = -16
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