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Simplifying 32 = -4(5x + 5) + -8(1 + 5x) Reorder the terms: 32 = -4(5 + 5x) + -8(1 + 5x) 32 = (5 * -4 + 5x * -4) + -8(1 + 5x) 32 = (-20 + -20x) + -8(1 + 5x) 32 = -20 + -20x + (1 * -8 + 5x * -8) 32 = -20 + -20x + (-8 + -40x) Reorder the terms: 32 = -20 + -8 + -20x + -40x Combine like terms: -20 + -8 = -28 32 = -28 + -20x + -40x Combine like terms: -20x + -40x = -60x 32 = -28 + -60x Solving 32 = -28 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. 32 + 60x = -28 + -60x + 60x Combine like terms: -60x + 60x = 0 32 + 60x = -28 + 0 32 + 60x = -28 Add '-32' to each side of the equation. 32 + -32 + 60x = -28 + -32 Combine like terms: 32 + -32 = 0 0 + 60x = -28 + -32 60x = -28 + -32 Combine like terms: -28 + -32 = -60 60x = -60 Divide each side by '60'. x = -1 Simplifying x = -1
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