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Simplifying -12(x + 8) = 3(x + 17) Reorder the terms: -12(8 + x) = 3(x + 17) (8 * -12 + x * -12) = 3(x + 17) (-96 + -12x) = 3(x + 17) Reorder the terms: -96 + -12x = 3(17 + x) -96 + -12x = (17 * 3 + x * 3) -96 + -12x = (51 + 3x) Solving -96 + -12x = 51 + 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 = 51 + 3x + -3x Combine like terms: -12x + -3x = -15x -96 + -15x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 -96 + -15x = 51 + 0 -96 + -15x = 51 Add '96' to each side of the equation. -96 + 96 + -15x = 51 + 96 Combine like terms: -96 + 96 = 0 0 + -15x = 51 + 96 -15x = 51 + 96 Combine like terms: 51 + 96 = 147 -15x = 147 Divide each side by '-15'. x = -9.8 Simplifying x = -9.8
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