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Simplifying 125(3x + -2) = 25(2x + 1) Reorder the terms: 125(-2 + 3x) = 25(2x + 1) (-2 * 125 + 3x * 125) = 25(2x + 1) (-250 + 375x) = 25(2x + 1) Reorder the terms: -250 + 375x = 25(1 + 2x) -250 + 375x = (1 * 25 + 2x * 25) -250 + 375x = (25 + 50x) Solving -250 + 375x = 25 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -250 + 375x + -50x = 25 + 50x + -50x Combine like terms: 375x + -50x = 325x -250 + 325x = 25 + 50x + -50x Combine like terms: 50x + -50x = 0 -250 + 325x = 25 + 0 -250 + 325x = 25 Add '250' to each side of the equation. -250 + 250 + 325x = 25 + 250 Combine like terms: -250 + 250 = 0 0 + 325x = 25 + 250 325x = 25 + 250 Combine like terms: 25 + 250 = 275 325x = 275 Divide each side by '325'. x = 0.8461538462 Simplifying x = 0.8461538462
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