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