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Simplifying -12(1 + -3x) = 12(8x + 9) (1 * -12 + -3x * -12) = 12(8x + 9) (-12 + 36x) = 12(8x + 9) Reorder the terms: -12 + 36x = 12(9 + 8x) -12 + 36x = (9 * 12 + 8x * 12) -12 + 36x = (108 + 96x) Solving -12 + 36x = 108 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. -12 + 36x + -96x = 108 + 96x + -96x Combine like terms: 36x + -96x = -60x -12 + -60x = 108 + 96x + -96x Combine like terms: 96x + -96x = 0 -12 + -60x = 108 + 0 -12 + -60x = 108 Add '12' to each side of the equation. -12 + 12 + -60x = 108 + 12 Combine like terms: -12 + 12 = 0 0 + -60x = 108 + 12 -60x = 108 + 12 Combine like terms: 108 + 12 = 120 -60x = 120 Divide each side by '-60'. x = -2 Simplifying x = -2
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