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Simplifying 2(x + 9) = 5x + 15 Reorder the terms: 2(9 + x) = 5x + 15 (9 * 2 + x * 2) = 5x + 15 (18 + 2x) = 5x + 15 Reorder the terms: 18 + 2x = 15 + 5x Solving 18 + 2x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 2x + -5x = 15 + 5x + -5x Combine like terms: 2x + -5x = -3x 18 + -3x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -3x = 15 + 0 18 + -3x = 15 Add '-18' to each side of the equation. 18 + -18 + -3x = 15 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 15 + -18 -3x = 15 + -18 Combine like terms: 15 + -18 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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