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Simplifying 3(-9 + -4x) = 8x + -9(x + 12) (-9 * 3 + -4x * 3) = 8x + -9(x + 12) (-27 + -12x) = 8x + -9(x + 12) Reorder the terms: -27 + -12x = 8x + -9(12 + x) -27 + -12x = 8x + (12 * -9 + x * -9) -27 + -12x = 8x + (-108 + -9x) Reorder the terms: -27 + -12x = -108 + 8x + -9x Combine like terms: 8x + -9x = -1x -27 + -12x = -108 + -1x Solving -27 + -12x = -108 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -27 + -12x + x = -108 + -1x + x Combine like terms: -12x + x = -11x -27 + -11x = -108 + -1x + x Combine like terms: -1x + x = 0 -27 + -11x = -108 + 0 -27 + -11x = -108 Add '27' to each side of the equation. -27 + 27 + -11x = -108 + 27 Combine like terms: -27 + 27 = 0 0 + -11x = -108 + 27 -11x = -108 + 27 Combine like terms: -108 + 27 = -81 -11x = -81 Divide each side by '-11'. x = 7.363636364 Simplifying x = 7.363636364
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