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Simplifying -2(-4x + 12) = -4 + 4x Reorder the terms: -2(12 + -4x) = -4 + 4x (12 * -2 + -4x * -2) = -4 + 4x (-24 + 8x) = -4 + 4x Solving -24 + 8x = -4 + 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. -24 + 8x + -4x = -4 + 4x + -4x Combine like terms: 8x + -4x = 4x -24 + 4x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 4x = -4 + 0 -24 + 4x = -4 Add '24' to each side of the equation. -24 + 24 + 4x = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -4 + 24 4x = -4 + 24 Combine like terms: -4 + 24 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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