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Simplifying -4(x + -2) = 4x + -32 Reorder the terms: -4(-2 + x) = 4x + -32 (-2 * -4 + x * -4) = 4x + -32 (8 + -4x) = 4x + -32 Reorder the terms: 8 + -4x = -32 + 4x Solving 8 + -4x = -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 + -4x + -4x = -32 + 4x + -4x Combine like terms: -4x + -4x = -8x 8 + -8x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -8x = -32 + 0 8 + -8x = -32 Add '-8' to each side of the equation. 8 + -8 + -8x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -32 + -8 -8x = -32 + -8 Combine like terms: -32 + -8 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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