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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 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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