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Simplifying 3 + (x * y) = (3 + x)(3 + y) Multiply x * y 3 + (xy) = (3 + x)(3 + y) 3 + xy = (3 + x)(3 + y) Multiply (3 + x) * (3 + y) 3 + xy = (3(3 + y) + x(3 + y)) 3 + xy = ((3 * 3 + y * 3) + x(3 + y)) 3 + xy = ((9 + 3y) + x(3 + y)) 3 + xy = (9 + 3y + (3 * x + y * x)) 3 + xy = (9 + 3y + (3x + xy)) Reorder the terms: 3 + xy = (9 + 3x + xy + 3y) 3 + xy = (9 + 3x + xy + 3y) Add '-1xy' to each side of the equation. 3 + xy + -1xy = 9 + 3x + xy + -1xy + 3y Combine like terms: xy + -1xy = 0 3 + 0 = 9 + 3x + xy + -1xy + 3y 3 = 9 + 3x + xy + -1xy + 3y Combine like terms: xy + -1xy = 0 3 = 9 + 3x + 0 + 3y 3 = 9 + 3x + 3y Solving 3 = 9 + 3x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + -3x = 9 + 3x + -3x + 3y Combine like terms: 3x + -3x = 0 3 + -3x = 9 + 0 + 3y 3 + -3x = 9 + 3y Add '-3' to each side of the equation. 3 + -3 + -3x = 9 + -3 + 3y Combine like terms: 3 + -3 = 0 0 + -3x = 9 + -3 + 3y -3x = 9 + -3 + 3y Combine like terms: 9 + -3 = 6 -3x = 6 + 3y Divide each side by '-3'. x = -2 + -1y Simplifying x = -2 + -1y
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