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Simplifying 4(x + 2) = -32 Reorder the terms: 4(2 + x) = -32 (2 * 4 + x * 4) = -32 (8 + 4x) = -32 Solving 8 + 4x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -32 + -8 4x = -32 + -8 Combine like terms: -32 + -8 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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