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Simplifying 3(x + 2) + -1(x + -3) = 15 Reorder the terms: 3(2 + x) + -1(x + -3) = 15 (2 * 3 + x * 3) + -1(x + -3) = 15 (6 + 3x) + -1(x + -3) = 15 Reorder the terms: 6 + 3x + -1(-3 + x) = 15 6 + 3x + (-3 * -1 + x * -1) = 15 6 + 3x + (3 + -1x) = 15 Reorder the terms: 6 + 3 + 3x + -1x = 15 Combine like terms: 6 + 3 = 9 9 + 3x + -1x = 15 Combine like terms: 3x + -1x = 2x 9 + 2x = 15 Solving 9 + 2x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 15 + -9 2x = 15 + -9 Combine like terms: 15 + -9 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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