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Simplifying 2(x + 10) = 3(x + 5) Reorder the terms: 2(10 + x) = 3(x + 5) (10 * 2 + x * 2) = 3(x + 5) (20 + 2x) = 3(x + 5) Reorder the terms: 20 + 2x = 3(5 + x) 20 + 2x = (5 * 3 + x * 3) 20 + 2x = (15 + 3x) Solving 20 + 2x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + 2x + -3x = 15 + 3x + -3x Combine like terms: 2x + -3x = -1x 20 + -1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -1x = 15 + 0 20 + -1x = 15 Add '-20' to each side of the equation. 20 + -20 + -1x = 15 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 15 + -20 -1x = 15 + -20 Combine like terms: 15 + -20 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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