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