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Simplifying -9x + -12(x + 10) = -12(x + -8) Reorder the terms: -9x + -12(10 + x) = -12(x + -8) -9x + (10 * -12 + x * -12) = -12(x + -8) -9x + (-120 + -12x) = -12(x + -8) Reorder the terms: -120 + -9x + -12x = -12(x + -8) Combine like terms: -9x + -12x = -21x -120 + -21x = -12(x + -8) Reorder the terms: -120 + -21x = -12(-8 + x) -120 + -21x = (-8 * -12 + x * -12) -120 + -21x = (96 + -12x) Solving -120 + -21x = 96 + -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. -120 + -21x + 12x = 96 + -12x + 12x Combine like terms: -21x + 12x = -9x -120 + -9x = 96 + -12x + 12x Combine like terms: -12x + 12x = 0 -120 + -9x = 96 + 0 -120 + -9x = 96 Add '120' to each side of the equation. -120 + 120 + -9x = 96 + 120 Combine like terms: -120 + 120 = 0 0 + -9x = 96 + 120 -9x = 96 + 120 Combine like terms: 96 + 120 = 216 -9x = 216 Divide each side by '-9'. x = -24 Simplifying x = -24
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