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Simplifying 25(x + 3) = 5(x + -1) Reorder the terms: 25(3 + x) = 5(x + -1) (3 * 25 + x * 25) = 5(x + -1) (75 + 25x) = 5(x + -1) Reorder the terms: 75 + 25x = 5(-1 + x) 75 + 25x = (-1 * 5 + x * 5) 75 + 25x = (-5 + 5x) Solving 75 + 25x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 75 + 25x + -5x = -5 + 5x + -5x Combine like terms: 25x + -5x = 20x 75 + 20x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 75 + 20x = -5 + 0 75 + 20x = -5 Add '-75' to each side of the equation. 75 + -75 + 20x = -5 + -75 Combine like terms: 75 + -75 = 0 0 + 20x = -5 + -75 20x = -5 + -75 Combine like terms: -5 + -75 = -80 20x = -80 Divide each side by '20'. x = -4 Simplifying x = -4
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