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