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Simplifying 2(4x + 4) = -2x + -32 Reorder the terms: 2(4 + 4x) = -2x + -32 (4 * 2 + 4x * 2) = -2x + -32 (8 + 8x) = -2x + -32 Reorder the terms: 8 + 8x = -32 + -2x Solving 8 + 8x = -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 + 8x + 2x = -32 + -2x + 2x Combine like terms: 8x + 2x = 10x 8 + 10x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 10x = -32 + 0 8 + 10x = -32 Add '-8' to each side of the equation. 8 + -8 + 10x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -32 + -8 10x = -32 + -8 Combine like terms: -32 + -8 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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