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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 = 9x -96 + 9x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 -96 + 9x = 51 + 0 -96 + 9x = 51 Add '96' to each side of the equation. -96 + 96 + 9x = 51 + 96 Combine like terms: -96 + 96 = 0 0 + 9x = 51 + 96 9x = 51 + 96 Combine like terms: 51 + 96 = 147 9x = 147 Divide each side by '9'. x = 16.33333333 Simplifying x = 16.33333333
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