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Simplifying 25(2x + 3) = 125(x + -4) Reorder the terms: 25(3 + 2x) = 125(x + -4) (3 * 25 + 2x * 25) = 125(x + -4) (75 + 50x) = 125(x + -4) Reorder the terms: 75 + 50x = 125(-4 + x) 75 + 50x = (-4 * 125 + x * 125) 75 + 50x = (-500 + 125x) Solving 75 + 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. 75 + 50x + -125x = -500 + 125x + -125x Combine like terms: 50x + -125x = -75x 75 + -75x = -500 + 125x + -125x Combine like terms: 125x + -125x = 0 75 + -75x = -500 + 0 75 + -75x = -500 Add '-75' to each side of the equation. 75 + -75 + -75x = -500 + -75 Combine like terms: 75 + -75 = 0 0 + -75x = -500 + -75 -75x = -500 + -75 Combine like terms: -500 + -75 = -575 -75x = -575 Divide each side by '-75'. x = 7.666666667 Simplifying x = 7.666666667
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