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Simplifying 3(x + 3) + 2(x + -3) = 18 Reorder the terms: 3(3 + x) + 2(x + -3) = 18 (3 * 3 + x * 3) + 2(x + -3) = 18 (9 + 3x) + 2(x + -3) = 18 Reorder the terms: 9 + 3x + 2(-3 + x) = 18 9 + 3x + (-3 * 2 + x * 2) = 18 9 + 3x + (-6 + 2x) = 18 Reorder the terms: 9 + -6 + 3x + 2x = 18 Combine like terms: 9 + -6 = 3 3 + 3x + 2x = 18 Combine like terms: 3x + 2x = 5x 3 + 5x = 18 Solving 3 + 5x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 18 + -3 5x = 18 + -3 Combine like terms: 18 + -3 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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