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Simplifying 4(x + -1y) + -2(y + -1x) + 3x(y + -2) = 0 (x * 4 + -1y * 4) + -2(y + -1x) + 3x(y + -2) = 0 (4x + -4y) + -2(y + -1x) + 3x(y + -2) = 0 Reorder the terms: 4x + -4y + -2(-1x + y) + 3x(y + -2) = 0 4x + -4y + (-1x * -2 + y * -2) + 3x(y + -2) = 0 4x + -4y + (2x + -2y) + 3x(y + -2) = 0 Reorder the terms: 4x + -4y + 2x + -2y + 3x(-2 + y) = 0 4x + -4y + 2x + -2y + (-2 * 3x + y * 3x) = 0 4x + -4y + 2x + -2y + (-6x + 3xy) = 0 Reorder the terms: 4x + 2x + -6x + 3xy + -4y + -2y = 0 Combine like terms: 4x + 2x = 6x 6x + -6x + 3xy + -4y + -2y = 0 Combine like terms: 6x + -6x = 0 0 + 3xy + -4y + -2y = 0 3xy + -4y + -2y = 0 Combine like terms: -4y + -2y = -6y 3xy + -6y = 0 Solving 3xy + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 3xy + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 3xy + 0 = 0 + 6y 3xy = 0 + 6y Remove the zero: 3xy = 6y Divide each side by '3y'. x = 2 Simplifying x = 2
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