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