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Simplifying 15 = 2(3 + -2x) + 5(x + -4) 15 = (3 * 2 + -2x * 2) + 5(x + -4) 15 = (6 + -4x) + 5(x + -4) Reorder the terms: 15 = 6 + -4x + 5(-4 + x) 15 = 6 + -4x + (-4 * 5 + x * 5) 15 = 6 + -4x + (-20 + 5x) Reorder the terms: 15 = 6 + -20 + -4x + 5x Combine like terms: 6 + -20 = -14 15 = -14 + -4x + 5x Combine like terms: -4x + 5x = 1x 15 = -14 + 1x Solving 15 = -14 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + -1x = -14 + 1x + -1x Combine like terms: 1x + -1x = 0 15 + -1x = -14 + 0 15 + -1x = -14 Add '-15' to each side of the equation. 15 + -15 + -1x = -14 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -14 + -15 -1x = -14 + -15 Combine like terms: -14 + -15 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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