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Simplifying (X + y)(x + -1y) = 7 Multiply (X + y) * (x + -1y) (X(x + -1y) + y(x + -1y)) = 7 ((x * X + -1y * X) + y(x + -1y)) = 7 ((xX + -1yX) + y(x + -1y)) = 7 (xX + -1yX + (x * y + -1y * y)) = 7 (xX + -1yX + (xy + -1y2)) = 7 Reorder the terms: (xX + xy + -1yX + -1y2) = 7 (xX + xy + -1yX + -1y2) = 7 Solving xX + xy + -1yX + -1y2 = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'yX' to each side of the equation. xX + xy + -1yX + yX + -1y2 = 7 + yX Combine like terms: -1yX + yX = 0 xX + xy + 0 + -1y2 = 7 + yX xX + xy + -1y2 = 7 + yX Add 'y2' to each side of the equation. xX + xy + -1y2 + y2 = 7 + yX + y2 Combine like terms: -1y2 + y2 = 0 xX + xy + 0 = 7 + yX + y2 xX + xy = 7 + yX + y2 Reorder the terms: -7 + xX + xy + -1yX + -1y2 = 7 + yX + y2 + -7 + -1yX + -1y2 Reorder the terms: -7 + xX + xy + -1yX + -1y2 = 7 + -7 + yX + -1yX + y2 + -1y2 Combine like terms: 7 + -7 = 0 -7 + xX + xy + -1yX + -1y2 = 0 + yX + -1yX + y2 + -1y2 -7 + xX + xy + -1yX + -1y2 = yX + -1yX + y2 + -1y2 Combine like terms: yX + -1yX = 0 -7 + xX + xy + -1yX + -1y2 = 0 + y2 + -1y2 -7 + xX + xy + -1yX + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -7 + xX + xy + -1yX + -1y2 = 0 The solution to this equation could not be determined.
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