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Simplifying 5(2x + 1) = 125(-1x + 2) Reorder the terms: 5(1 + 2x) = 125(-1x + 2) (1 * 5 + 2x * 5) = 125(-1x + 2) (5 + 10x) = 125(-1x + 2) Reorder the terms: 5 + 10x = 125(2 + -1x) 5 + 10x = (2 * 125 + -1x * 125) 5 + 10x = (250 + -125x) Solving 5 + 10x = 250 + -125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '125x' to each side of the equation. 5 + 10x + 125x = 250 + -125x + 125x Combine like terms: 10x + 125x = 135x 5 + 135x = 250 + -125x + 125x Combine like terms: -125x + 125x = 0 5 + 135x = 250 + 0 5 + 135x = 250 Add '-5' to each side of the equation. 5 + -5 + 135x = 250 + -5 Combine like terms: 5 + -5 = 0 0 + 135x = 250 + -5 135x = 250 + -5 Combine like terms: 250 + -5 = 245 135x = 245 Divide each side by '135'. x = 1.814814815 Simplifying x = 1.814814815
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