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Simplifying -8 + -5(7x + -8) = 32 + -4x Reorder the terms: -8 + -5(-8 + 7x) = 32 + -4x -8 + (-8 * -5 + 7x * -5) = 32 + -4x -8 + (40 + -35x) = 32 + -4x Combine like terms: -8 + 40 = 32 32 + -35x = 32 + -4x Add '-32' to each side of the equation. 32 + -32 + -35x = 32 + -32 + -4x Combine like terms: 32 + -32 = 0 0 + -35x = 32 + -32 + -4x -35x = 32 + -32 + -4x Combine like terms: 32 + -32 = 0 -35x = 0 + -4x -35x = -4x Solving -35x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -35x + 4x = -4x + 4x Combine like terms: -35x + 4x = -31x -31x = -4x + 4x Combine like terms: -4x + 4x = 0 -31x = 0 Divide each side by '-31'. x = 0 Simplifying x = 0
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