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