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