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Simplifying -2(-4x + 2) = 52 Reorder the terms: -2(2 + -4x) = 52 (2 * -2 + -4x * -2) = 52 (-4 + 8x) = 52 Solving -4 + 8x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8x = 52 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 52 + 4 8x = 52 + 4 Combine like terms: 52 + 4 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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