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Simplifying -9(9 + x) = -12(x + 10) (9 * -9 + x * -9) = -12(x + 10) (-81 + -9x) = -12(x + 10) Reorder the terms: -81 + -9x = -12(10 + x) -81 + -9x = (10 * -12 + x * -12) -81 + -9x = (-120 + -12x) Solving -81 + -9x = -120 + -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. -81 + -9x + 12x = -120 + -12x + 12x Combine like terms: -9x + 12x = 3x -81 + 3x = -120 + -12x + 12x Combine like terms: -12x + 12x = 0 -81 + 3x = -120 + 0 -81 + 3x = -120 Add '81' to each side of the equation. -81 + 81 + 3x = -120 + 81 Combine like terms: -81 + 81 = 0 0 + 3x = -120 + 81 3x = -120 + 81 Combine like terms: -120 + 81 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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