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Simplifying -12(x + 8) = -3(x + -47) Reorder the terms: -12(8 + x) = -3(x + -47) (8 * -12 + x * -12) = -3(x + -47) (-96 + -12x) = -3(x + -47) Reorder the terms: -96 + -12x = -3(-47 + x) -96 + -12x = (-47 * -3 + x * -3) -96 + -12x = (141 + -3x) Solving -96 + -12x = 141 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -96 + -12x + 3x = 141 + -3x + 3x Combine like terms: -12x + 3x = -9x -96 + -9x = 141 + -3x + 3x Combine like terms: -3x + 3x = 0 -96 + -9x = 141 + 0 -96 + -9x = 141 Add '96' to each side of the equation. -96 + 96 + -9x = 141 + 96 Combine like terms: -96 + 96 = 0 0 + -9x = 141 + 96 -9x = 141 + 96 Combine like terms: 141 + 96 = 237 -9x = 237 Divide each side by '-9'. x = -26.33333333 Simplifying x = -26.33333333
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