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Simplifying 5(4 + -5x) + 5 = -5(x + 7) (4 * 5 + -5x * 5) + 5 = -5(x + 7) (20 + -25x) + 5 = -5(x + 7) Reorder the terms: 20 + 5 + -25x = -5(x + 7) Combine like terms: 20 + 5 = 25 25 + -25x = -5(x + 7) Reorder the terms: 25 + -25x = -5(7 + x) 25 + -25x = (7 * -5 + x * -5) 25 + -25x = (-35 + -5x) Solving 25 + -25x = -35 + -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. 25 + -25x + 5x = -35 + -5x + 5x Combine like terms: -25x + 5x = -20x 25 + -20x = -35 + -5x + 5x Combine like terms: -5x + 5x = 0 25 + -20x = -35 + 0 25 + -20x = -35 Add '-25' to each side of the equation. 25 + -25 + -20x = -35 + -25 Combine like terms: 25 + -25 = 0 0 + -20x = -35 + -25 -20x = -35 + -25 Combine like terms: -35 + -25 = -60 -20x = -60 Divide each side by '-20'. x = 3 Simplifying x = 3
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