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Simplifying 2(x + -12) = 3(x + 15) Reorder the terms: 2(-12 + x) = 3(x + 15) (-12 * 2 + x * 2) = 3(x + 15) (-24 + 2x) = 3(x + 15) Reorder the terms: -24 + 2x = 3(15 + x) -24 + 2x = (15 * 3 + x * 3) -24 + 2x = (45 + 3x) Solving -24 + 2x = 45 + 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. -24 + 2x + -3x = 45 + 3x + -3x Combine like terms: 2x + -3x = -1x -24 + -1x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -1x = 45 + 0 -24 + -1x = 45 Add '24' to each side of the equation. -24 + 24 + -1x = 45 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 45 + 24 -1x = 45 + 24 Combine like terms: 45 + 24 = 69 -1x = 69 Divide each side by '-1'. x = -69 Simplifying x = -69
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