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Simplifying -12(x + -9) = 3(x + 13) Reorder the terms: -12(-9 + x) = 3(x + 13) (-9 * -12 + x * -12) = 3(x + 13) (108 + -12x) = 3(x + 13) Reorder the terms: 108 + -12x = 3(13 + x) 108 + -12x = (13 * 3 + x * 3) 108 + -12x = (39 + 3x) Solving 108 + -12x = 39 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 108 + -12x + -3x = 39 + 3x + -3x Combine like terms: -12x + -3x = -15x 108 + -15x = 39 + 3x + -3x Combine like terms: 3x + -3x = 0 108 + -15x = 39 + 0 108 + -15x = 39 Add '-108' to each side of the equation. 108 + -108 + -15x = 39 + -108 Combine like terms: 108 + -108 = 0 0 + -15x = 39 + -108 -15x = 39 + -108 Combine like terms: 39 + -108 = -69 -15x = -69 Divide each side by '-15'. x = 4.6 Simplifying x = 4.6
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