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Simplifying 5(x + -25) = 25(x + -25) Reorder the terms: 5(-25 + x) = 25(x + -25) (-25 * 5 + x * 5) = 25(x + -25) (-125 + 5x) = 25(x + -25) Reorder the terms: -125 + 5x = 25(-25 + x) -125 + 5x = (-25 * 25 + x * 25) -125 + 5x = (-625 + 25x) Solving -125 + 5x = -625 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -125 + 5x + -25x = -625 + 25x + -25x Combine like terms: 5x + -25x = -20x -125 + -20x = -625 + 25x + -25x Combine like terms: 25x + -25x = 0 -125 + -20x = -625 + 0 -125 + -20x = -625 Add '125' to each side of the equation. -125 + 125 + -20x = -625 + 125 Combine like terms: -125 + 125 = 0 0 + -20x = -625 + 125 -20x = -625 + 125 Combine like terms: -625 + 125 = -500 -20x = -500 Divide each side by '-20'. x = 25 Simplifying x = 25
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