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Simplifying -8(1 + -2x) = -32 + 4x (1 * -8 + -2x * -8) = -32 + 4x (-8 + 16x) = -32 + 4x Solving -8 + 16x = -32 + 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. -8 + 16x + -4x = -32 + 4x + -4x Combine like terms: 16x + -4x = 12x -8 + 12x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 12x = -32 + 0 -8 + 12x = -32 Add '8' to each side of the equation. -8 + 8 + 12x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = -32 + 8 12x = -32 + 8 Combine like terms: -32 + 8 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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