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Simplifying 3(2x + 5) = 5(x + 20) Reorder the terms: 3(5 + 2x) = 5(x + 20) (5 * 3 + 2x * 3) = 5(x + 20) (15 + 6x) = 5(x + 20) Reorder the terms: 15 + 6x = 5(20 + x) 15 + 6x = (20 * 5 + x * 5) 15 + 6x = (100 + 5x) Solving 15 + 6x = 100 + 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 + 6x + -5x = 100 + 5x + -5x Combine like terms: 6x + -5x = 1x 15 + 1x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 1x = 100 + 0 15 + 1x = 100 Add '-15' to each side of the equation. 15 + -15 + 1x = 100 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 100 + -15 1x = 100 + -15 Combine like terms: 100 + -15 = 85 1x = 85 Divide each side by '1'. x = 85 Simplifying x = 85
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