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Simplifying 5(x + -1) = 25(x + 4) Reorder the terms: 5(-1 + x) = 25(x + 4) (-1 * 5 + x * 5) = 25(x + 4) (-5 + 5x) = 25(x + 4) Reorder the terms: -5 + 5x = 25(4 + x) -5 + 5x = (4 * 25 + x * 25) -5 + 5x = (100 + 25x) Solving -5 + 5x = 100 + 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. -5 + 5x + -25x = 100 + 25x + -25x Combine like terms: 5x + -25x = -20x -5 + -20x = 100 + 25x + -25x Combine like terms: 25x + -25x = 0 -5 + -20x = 100 + 0 -5 + -20x = 100 Add '5' to each side of the equation. -5 + 5 + -20x = 100 + 5 Combine like terms: -5 + 5 = 0 0 + -20x = 100 + 5 -20x = 100 + 5 Combine like terms: 100 + 5 = 105 -20x = 105 Divide each side by '-20'. x = -5.25 Simplifying x = -5.25
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