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Simplifying (2x + y) * 2 + -1(2x + -1y) * 2 + -4xy = 0 Reorder the terms for easier multiplication: 2(2x + y) + -1(2x + -1y) * 2 + -4xy = 0 (2x * 2 + y * 2) + -1(2x + -1y) * 2 + -4xy = 0 (4x + 2y) + -1(2x + -1y) * 2 + -4xy = 0 Reorder the terms for easier multiplication: 4x + 2y + -1 * 2(2x + -1y) + -4xy = 0 Multiply -1 * 2 4x + 2y + -2(2x + -1y) + -4xy = 0 4x + 2y + (2x * -2 + -1y * -2) + -4xy = 0 4x + 2y + (-4x + 2y) + -4xy = 0 Reorder the terms: 4x + -4x + -4xy + 2y + 2y = 0 Combine like terms: 4x + -4x = 0 0 + -4xy + 2y + 2y = 0 -4xy + 2y + 2y = 0 Combine like terms: 2y + 2y = 4y -4xy + 4y = 0 Solving -4xy + 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. -4xy + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -4xy + 0 = 0 + -4y -4xy = 0 + -4y Remove the zero: -4xy = -4y Divide each side by '-4y'. x = 1 Simplifying x = 1
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