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Simplifying 2(x + 3) + -3(x + -3) = 13 Reorder the terms: 2(3 + x) + -3(x + -3) = 13 (3 * 2 + x * 2) + -3(x + -3) = 13 (6 + 2x) + -3(x + -3) = 13 Reorder the terms: 6 + 2x + -3(-3 + x) = 13 6 + 2x + (-3 * -3 + x * -3) = 13 6 + 2x + (9 + -3x) = 13 Reorder the terms: 6 + 9 + 2x + -3x = 13 Combine like terms: 6 + 9 = 15 15 + 2x + -3x = 13 Combine like terms: 2x + -3x = -1x 15 + -1x = 13 Solving 15 + -1x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 13 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 13 + -15 -1x = 13 + -15 Combine like terms: 13 + -15 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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