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Simplifying x(3 + -1y) + y(x + 6) = 0 (3 * x + -1y * x) + y(x + 6) = 0 (3x + -1xy) + y(x + 6) = 0 Reorder the terms: 3x + -1xy + y(6 + x) = 0 3x + -1xy + (6 * y + x * y) = 0 Reorder the terms: 3x + -1xy + (xy + 6y) = 0 3x + -1xy + (xy + 6y) = 0 Combine like terms: -1xy + xy = 0 3x + 0 + 6y = 0 3x + 6y = 0 Solving 3x + 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. 3x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 3x + 0 = 0 + -6y 3x = 0 + -6y Remove the zero: 3x = -6y Divide each side by '3'. x = -2y Simplifying x = -2y
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