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Simplifying 5(x + -3) = 25(x + -5) Reorder the terms: 5(-3 + x) = 25(x + -5) (-3 * 5 + x * 5) = 25(x + -5) (-15 + 5x) = 25(x + -5) Reorder the terms: -15 + 5x = 25(-5 + x) -15 + 5x = (-5 * 25 + x * 25) -15 + 5x = (-125 + 25x) Solving -15 + 5x = -125 + 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. -15 + 5x + -25x = -125 + 25x + -25x Combine like terms: 5x + -25x = -20x -15 + -20x = -125 + 25x + -25x Combine like terms: 25x + -25x = 0 -15 + -20x = -125 + 0 -15 + -20x = -125 Add '15' to each side of the equation. -15 + 15 + -20x = -125 + 15 Combine like terms: -15 + 15 = 0 0 + -20x = -125 + 15 -20x = -125 + 15 Combine like terms: -125 + 15 = -110 -20x = -110 Divide each side by '-20'. x = 5.5 Simplifying x = 5.5
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