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Simplifying -5(-4x + -5) = -7 + 8(x + 1) Reorder the terms: -5(-5 + -4x) = -7 + 8(x + 1) (-5 * -5 + -4x * -5) = -7 + 8(x + 1) (25 + 20x) = -7 + 8(x + 1) Reorder the terms: 25 + 20x = -7 + 8(1 + x) 25 + 20x = -7 + (1 * 8 + x * 8) 25 + 20x = -7 + (8 + 8x) Combine like terms: -7 + 8 = 1 25 + 20x = 1 + 8x Solving 25 + 20x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 25 + 20x + -8x = 1 + 8x + -8x Combine like terms: 20x + -8x = 12x 25 + 12x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + 12x = 1 + 0 25 + 12x = 1 Add '-25' to each side of the equation. 25 + -25 + 12x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 12x = 1 + -25 12x = 1 + -25 Combine like terms: 1 + -25 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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