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Simplifying x(y + 2) + -1y(x + -3) = 9 Reorder the terms: x(2 + y) + -1y(x + -3) = 9 (2 * x + y * x) + -1y(x + -3) = 9 (2x + xy) + -1y(x + -3) = 9 Reorder the terms: 2x + xy + -1y(-3 + x) = 9 2x + xy + (-3 * -1y + x * -1y) = 9 Reorder the terms: 2x + xy + (-1xy + 3y) = 9 2x + xy + (-1xy + 3y) = 9 Combine like terms: xy + -1xy = 0 2x + 0 + 3y = 9 2x + 3y = 9 Solving 2x + 3y = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x + 3y + -3y = 9 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 9 + -3y 2x = 9 + -3y Divide each side by '2'. x = 4.5 + -1.5y Simplifying x = 4.5 + -1.5y
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