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Simplifying 25(2x + 1) = 125(-1x + 2) Reorder the terms: 25(1 + 2x) = 125(-1x + 2) (1 * 25 + 2x * 25) = 125(-1x + 2) (25 + 50x) = 125(-1x + 2) Reorder the terms: 25 + 50x = 125(2 + -1x) 25 + 50x = (2 * 125 + -1x * 125) 25 + 50x = (250 + -125x) Solving 25 + 50x = 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. 25 + 50x + 125x = 250 + -125x + 125x Combine like terms: 50x + 125x = 175x 25 + 175x = 250 + -125x + 125x Combine like terms: -125x + 125x = 0 25 + 175x = 250 + 0 25 + 175x = 250 Add '-25' to each side of the equation. 25 + -25 + 175x = 250 + -25 Combine like terms: 25 + -25 = 0 0 + 175x = 250 + -25 175x = 250 + -25 Combine like terms: 250 + -25 = 225 175x = 225 Divide each side by '175'. x = 1.285714286 Simplifying x = 1.285714286
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