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Simplifying 20(x + 1) = 15(x + 2) Reorder the terms: 20(1 + x) = 15(x + 2) (1 * 20 + x * 20) = 15(x + 2) (20 + 20x) = 15(x + 2) Reorder the terms: 20 + 20x = 15(2 + x) 20 + 20x = (2 * 15 + x * 15) 20 + 20x = (30 + 15x) Solving 20 + 20x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 20 + 20x + -15x = 30 + 15x + -15x Combine like terms: 20x + -15x = 5x 20 + 5x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + 5x = 30 + 0 20 + 5x = 30 Add '-20' to each side of the equation. 20 + -20 + 5x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 30 + -20 5x = 30 + -20 Combine like terms: 30 + -20 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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