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Simplifying -12(x + -9) = -6(17 + -3x) Reorder the terms: -12(-9 + x) = -6(17 + -3x) (-9 * -12 + x * -12) = -6(17 + -3x) (108 + -12x) = -6(17 + -3x) 108 + -12x = (17 * -6 + -3x * -6) 108 + -12x = (-102 + 18x) Solving 108 + -12x = -102 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 108 + -12x + -18x = -102 + 18x + -18x Combine like terms: -12x + -18x = -30x 108 + -30x = -102 + 18x + -18x Combine like terms: 18x + -18x = 0 108 + -30x = -102 + 0 108 + -30x = -102 Add '-108' to each side of the equation. 108 + -108 + -30x = -102 + -108 Combine like terms: 108 + -108 = 0 0 + -30x = -102 + -108 -30x = -102 + -108 Combine like terms: -102 + -108 = -210 -30x = -210 Divide each side by '-30'. x = 7 Simplifying x = 7
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