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Simplifying 4(2x + 4) = -4x + -32 Reorder the terms: 4(4 + 2x) = -4x + -32 (4 * 4 + 2x * 4) = -4x + -32 (16 + 8x) = -4x + -32 Reorder the terms: 16 + 8x = -32 + -4x Solving 16 + 8x = -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. 16 + 8x + 4x = -32 + -4x + 4x Combine like terms: 8x + 4x = 12x 16 + 12x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + 12x = -32 + 0 16 + 12x = -32 Add '-16' to each side of the equation. 16 + -16 + 12x = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 12x = -32 + -16 12x = -32 + -16 Combine like terms: -32 + -16 = -48 12x = -48 Divide each side by '12'. x = -4 Simplifying x = -4
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