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Simplifying (x + 1)(y + -1) = 10 Reorder the terms: (1 + x)(y + -1) = 10 Reorder the terms: (1 + x)(-1 + y) = 10 Multiply (1 + x) * (-1 + y) (1(-1 + y) + x(-1 + y)) = 10 ((-1 * 1 + y * 1) + x(-1 + y)) = 10 ((-1 + 1y) + x(-1 + y)) = 10 (-1 + 1y + (-1 * x + y * x)) = 10 (-1 + 1y + (-1x + xy)) = 10 Reorder the terms: (-1 + -1x + xy + 1y) = 10 (-1 + -1x + xy + 1y) = 10 Solving -1 + -1x + xy + 1y = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1x + xy + 1 + 1y = 10 + 1 Reorder the terms: -1 + 1 + -1x + xy + 1y = 10 + 1 Combine like terms: -1 + 1 = 0 0 + -1x + xy + 1y = 10 + 1 -1x + xy + 1y = 10 + 1 Combine like terms: 10 + 1 = 11 -1x + xy + 1y = 11 Add '-1y' to each side of the equation. -1x + xy + 1y + -1y = 11 + -1y Combine like terms: 1y + -1y = 0 -1x + xy + 0 = 11 + -1y -1x + xy = 11 + -1y Reorder the terms: -11 + -1x + xy + y = 11 + -1y + -11 + y Reorder the terms: -11 + -1x + xy + y = 11 + -11 + -1y + y Combine like terms: 11 + -11 = 0 -11 + -1x + xy + y = 0 + -1y + y -11 + -1x + xy + y = -1y + y Combine like terms: -1y + y = 0 -11 + -1x + xy + y = 0 The solution to this equation could not be determined.
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