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Simplifying 2(x + -4) = -32 + -4x Reorder the terms: 2(-4 + x) = -32 + -4x (-4 * 2 + x * 2) = -32 + -4x (-8 + 2x) = -32 + -4x Solving -8 + 2x = -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 + 2x + 4x = -32 + -4x + 4x Combine like terms: 2x + 4x = 6x -8 + 6x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 6x = -32 + 0 -8 + 6x = -32 Add '8' to each side of the equation. -8 + 8 + 6x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = -32 + 8 6x = -32 + 8 Combine like terms: -32 + 8 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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