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Simplifying 4(-8x + 8) = 5(5 + -5x) Reorder the terms: 4(8 + -8x) = 5(5 + -5x) (8 * 4 + -8x * 4) = 5(5 + -5x) (32 + -32x) = 5(5 + -5x) 32 + -32x = (5 * 5 + -5x * 5) 32 + -32x = (25 + -25x) Solving 32 + -32x = 25 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 32 + -32x + 25x = 25 + -25x + 25x Combine like terms: -32x + 25x = -7x 32 + -7x = 25 + -25x + 25x Combine like terms: -25x + 25x = 0 32 + -7x = 25 + 0 32 + -7x = 25 Add '-32' to each side of the equation. 32 + -32 + -7x = 25 + -32 Combine like terms: 32 + -32 = 0 0 + -7x = 25 + -32 -7x = 25 + -32 Combine like terms: 25 + -32 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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