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Simplifying 12(6 + -10x) = -9(12x + 12) (6 * 12 + -10x * 12) = -9(12x + 12) (72 + -120x) = -9(12x + 12) Reorder the terms: 72 + -120x = -9(12 + 12x) 72 + -120x = (12 * -9 + 12x * -9) 72 + -120x = (-108 + -108x) Solving 72 + -120x = -108 + -108x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '108x' to each side of the equation. 72 + -120x + 108x = -108 + -108x + 108x Combine like terms: -120x + 108x = -12x 72 + -12x = -108 + -108x + 108x Combine like terms: -108x + 108x = 0 72 + -12x = -108 + 0 72 + -12x = -108 Add '-72' to each side of the equation. 72 + -72 + -12x = -108 + -72 Combine like terms: 72 + -72 = 0 0 + -12x = -108 + -72 -12x = -108 + -72 Combine like terms: -108 + -72 = -180 -12x = -180 Divide each side by '-12'. x = 15 Simplifying x = 15
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