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Simplifying -12(x + -1) = 4(x + 9) Reorder the terms: -12(-1 + x) = 4(x + 9) (-1 * -12 + x * -12) = 4(x + 9) (12 + -12x) = 4(x + 9) Reorder the terms: 12 + -12x = 4(9 + x) 12 + -12x = (9 * 4 + x * 4) 12 + -12x = (36 + 4x) Solving 12 + -12x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + -12x + -4x = 36 + 4x + -4x Combine like terms: -12x + -4x = -16x 12 + -16x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -16x = 36 + 0 12 + -16x = 36 Add '-12' to each side of the equation. 12 + -12 + -16x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = 36 + -12 -16x = 36 + -12 Combine like terms: 36 + -12 = 24 -16x = 24 Divide each side by '-16'. x = -1.5 Simplifying x = -1.5
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