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Simplifying -5(x + -5) = 5x + 5(1 + -4x) Reorder the terms: -5(-5 + x) = 5x + 5(1 + -4x) (-5 * -5 + x * -5) = 5x + 5(1 + -4x) (25 + -5x) = 5x + 5(1 + -4x) 25 + -5x = 5x + (1 * 5 + -4x * 5) 25 + -5x = 5x + (5 + -20x) Reorder the terms: 25 + -5x = 5 + 5x + -20x Combine like terms: 5x + -20x = -15x 25 + -5x = 5 + -15x Solving 25 + -5x = 5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 25 + -5x + 15x = 5 + -15x + 15x Combine like terms: -5x + 15x = 10x 25 + 10x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 25 + 10x = 5 + 0 25 + 10x = 5 Add '-25' to each side of the equation. 25 + -25 + 10x = 5 + -25 Combine like terms: 25 + -25 = 0 0 + 10x = 5 + -25 10x = 5 + -25 Combine like terms: 5 + -25 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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