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Simplifying 2x + 3(x + 5) + -2(x + 3) = 18 Reorder the terms: 2x + 3(5 + x) + -2(x + 3) = 18 2x + (5 * 3 + x * 3) + -2(x + 3) = 18 2x + (15 + 3x) + -2(x + 3) = 18 Reorder the terms: 2x + 15 + 3x + -2(3 + x) = 18 2x + 15 + 3x + (3 * -2 + x * -2) = 18 2x + 15 + 3x + (-6 + -2x) = 18 Reorder the terms: 15 + -6 + 2x + 3x + -2x = 18 Combine like terms: 15 + -6 = 9 9 + 2x + 3x + -2x = 18 Combine like terms: 2x + 3x = 5x 9 + 5x + -2x = 18 Combine like terms: 5x + -2x = 3x 9 + 3x = 18 Solving 9 + 3x = 18 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 + 3x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 18 + -9 3x = 18 + -9 Combine like terms: 18 + -9 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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