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Simplifying -12(x + -9) = -6(5x) Reorder the terms: -12(-9 + x) = -6(5x) (-9 * -12 + x * -12) = -6(5x) (108 + -12x) = -6(5x) Remove parenthesis around (5x) 108 + -12x = -6 * 5x Multiply -6 * 5 108 + -12x = -30x Solving 108 + -12x = -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 108 + -12x + 30x = -30x + 30x Combine like terms: -12x + 30x = 18x 108 + 18x = -30x + 30x Combine like terms: -30x + 30x = 0 108 + 18x = 0 Add '-108' to each side of the equation. 108 + -108 + 18x = 0 + -108 Combine like terms: 108 + -108 = 0 0 + 18x = 0 + -108 18x = 0 + -108 Combine like terms: 0 + -108 = -108 18x = -108 Divide each side by '18'. x = -6 Simplifying x = -6
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