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Simplifying -9(x + -4) + -9 = -12(x + 1) Reorder the terms: -9(-4 + x) + -9 = -12(x + 1) (-4 * -9 + x * -9) + -9 = -12(x + 1) (36 + -9x) + -9 = -12(x + 1) Reorder the terms: 36 + -9 + -9x = -12(x + 1) Combine like terms: 36 + -9 = 27 27 + -9x = -12(x + 1) Reorder the terms: 27 + -9x = -12(1 + x) 27 + -9x = (1 * -12 + x * -12) 27 + -9x = (-12 + -12x) Solving 27 + -9x = -12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 27 + -9x + 12x = -12 + -12x + 12x Combine like terms: -9x + 12x = 3x 27 + 3x = -12 + -12x + 12x Combine like terms: -12x + 12x = 0 27 + 3x = -12 + 0 27 + 3x = -12 Add '-27' to each side of the equation. 27 + -27 + 3x = -12 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = -12 + -27 3x = -12 + -27 Combine like terms: -12 + -27 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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