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Simplifying 2x(y + 2) + -2y(x + 2) = 0 Reorder the terms: 2x(2 + y) + -2y(x + 2) = 0 (2 * 2x + y * 2x) + -2y(x + 2) = 0 (4x + 2xy) + -2y(x + 2) = 0 Reorder the terms: 4x + 2xy + -2y(2 + x) = 0 4x + 2xy + (2 * -2y + x * -2y) = 0 Reorder the terms: 4x + 2xy + (-2xy + -4y) = 0 4x + 2xy + (-2xy + -4y) = 0 Combine like terms: 2xy + -2xy = 0 4x + 0 + -4y = 0 4x + -4y = 0 Solving 4x + -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. 4x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 4x + 0 = 0 + 4y 4x = 0 + 4y Remove the zero: 4x = 4y Divide each side by '4'. x = y Simplifying x = y
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