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