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Simplifying 15 + 2x = 3(x + -9) Reorder the terms: 15 + 2x = 3(-9 + x) 15 + 2x = (-9 * 3 + x * 3) 15 + 2x = (-27 + 3x) Solving 15 + 2x = -27 + 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. 15 + 2x + -3x = -27 + 3x + -3x Combine like terms: 2x + -3x = -1x 15 + -1x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -1x = -27 + 0 15 + -1x = -27 Add '-15' to each side of the equation. 15 + -15 + -1x = -27 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -27 + -15 -1x = -27 + -15 Combine like terms: -27 + -15 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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