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Simplifying 25 = 5(5x + 4) + -5(1 + 7x) Reorder the terms: 25 = 5(4 + 5x) + -5(1 + 7x) 25 = (4 * 5 + 5x * 5) + -5(1 + 7x) 25 = (20 + 25x) + -5(1 + 7x) 25 = 20 + 25x + (1 * -5 + 7x * -5) 25 = 20 + 25x + (-5 + -35x) Reorder the terms: 25 = 20 + -5 + 25x + -35x Combine like terms: 20 + -5 = 15 25 = 15 + 25x + -35x Combine like terms: 25x + -35x = -10x 25 = 15 + -10x Solving 25 = 15 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 25 + 10x = 15 + -10x + 10x Combine like terms: -10x + 10x = 0 25 + 10x = 15 + 0 25 + 10x = 15 Add '-25' to each side of the equation. 25 + -25 + 10x = 15 + -25 Combine like terms: 25 + -25 = 0 0 + 10x = 15 + -25 10x = 15 + -25 Combine like terms: 15 + -25 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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