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Simplifying 2(2x + 4) = -4x Reorder the terms: 2(4 + 2x) = -4x (4 * 2 + 2x * 2) = -4x (8 + 4x) = -4x Solving 8 + 4x = -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 + 4x + 4x = -4x + 4x Combine like terms: 4x + 4x = 8x 8 + 8x = -4x + 4x Combine like terms: -4x + 4x = 0 8 + 8x = 0 Add '-8' to each side of the equation. 8 + -8 + 8x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 0 + -8 8x = 0 + -8 Combine like terms: 0 + -8 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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