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Simplifying 25(2x + -3) = 125(x + -7) Reorder the terms: 25(-3 + 2x) = 125(x + -7) (-3 * 25 + 2x * 25) = 125(x + -7) (-75 + 50x) = 125(x + -7) Reorder the terms: -75 + 50x = 125(-7 + x) -75 + 50x = (-7 * 125 + x * 125) -75 + 50x = (-875 + 125x) Solving -75 + 50x = -875 + 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 = -875 + 125x + -125x Combine like terms: 50x + -125x = -75x -75 + -75x = -875 + 125x + -125x Combine like terms: 125x + -125x = 0 -75 + -75x = -875 + 0 -75 + -75x = -875 Add '75' to each side of the equation. -75 + 75 + -75x = -875 + 75 Combine like terms: -75 + 75 = 0 0 + -75x = -875 + 75 -75x = -875 + 75 Combine like terms: -875 + 75 = -800 -75x = -800 Divide each side by '-75'. x = 10.66666667 Simplifying x = 10.66666667
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