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Simplifying 5(2x + 10) = 20(x + 1) Reorder the terms: 5(10 + 2x) = 20(x + 1) (10 * 5 + 2x * 5) = 20(x + 1) (50 + 10x) = 20(x + 1) Reorder the terms: 50 + 10x = 20(1 + x) 50 + 10x = (1 * 20 + x * 20) 50 + 10x = (20 + 20x) Solving 50 + 10x = 20 + 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. 50 + 10x + -20x = 20 + 20x + -20x Combine like terms: 10x + -20x = -10x 50 + -10x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 50 + -10x = 20 + 0 50 + -10x = 20 Add '-50' to each side of the equation. 50 + -50 + -10x = 20 + -50 Combine like terms: 50 + -50 = 0 0 + -10x = 20 + -50 -10x = 20 + -50 Combine like terms: 20 + -50 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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