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Simplifying -4(8x + -2) = 8x + -32 Reorder the terms: -4(-2 + 8x) = 8x + -32 (-2 * -4 + 8x * -4) = 8x + -32 (8 + -32x) = 8x + -32 Reorder the terms: 8 + -32x = -32 + 8x Solving 8 + -32x = -32 + 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. 8 + -32x + -8x = -32 + 8x + -8x Combine like terms: -32x + -8x = -40x 8 + -40x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -40x = -32 + 0 8 + -40x = -32 Add '-8' to each side of the equation. 8 + -8 + -40x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -40x = -32 + -8 -40x = -32 + -8 Combine like terms: -32 + -8 = -40 -40x = -40 Divide each side by '-40'. x = 1 Simplifying x = 1
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