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Simplifying 25(2x + 1) = 125(x + 4) Reorder the terms: 25(1 + 2x) = 125(x + 4) (1 * 25 + 2x * 25) = 125(x + 4) (25 + 50x) = 125(x + 4) Reorder the terms: 25 + 50x = 125(4 + x) 25 + 50x = (4 * 125 + x * 125) 25 + 50x = (500 + 125x) Solving 25 + 50x = 500 + 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 = 500 + 125x + -125x Combine like terms: 50x + -125x = -75x 25 + -75x = 500 + 125x + -125x Combine like terms: 125x + -125x = 0 25 + -75x = 500 + 0 25 + -75x = 500 Add '-25' to each side of the equation. 25 + -25 + -75x = 500 + -25 Combine like terms: 25 + -25 = 0 0 + -75x = 500 + -25 -75x = 500 + -25 Combine like terms: 500 + -25 = 475 -75x = 475 Divide each side by '-75'. x = -6.333333333 Simplifying x = -6.333333333
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