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Simplifying 15(x + 1) = 5(x + 2) Reorder the terms: 15(1 + x) = 5(x + 2) (1 * 15 + x * 15) = 5(x + 2) (15 + 15x) = 5(x + 2) Reorder the terms: 15 + 15x = 5(2 + x) 15 + 15x = (2 * 5 + x * 5) 15 + 15x = (10 + 5x) Solving 15 + 15x = 10 + 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. 15 + 15x + -5x = 10 + 5x + -5x Combine like terms: 15x + -5x = 10x 15 + 10x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 10x = 10 + 0 15 + 10x = 10 Add '-15' to each side of the equation. 15 + -15 + 10x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = 10 + -15 10x = 10 + -15 Combine like terms: 10 + -15 = -5 10x = -5 Divide each side by '10'. x = -0.5 Simplifying x = -0.5
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