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Simplifying (x + -1)(y + -1) = 25 Reorder the terms: (-1 + x)(y + -1) = 25 Reorder the terms: (-1 + x)(-1 + y) = 25 Multiply (-1 + x) * (-1 + y) (-1(-1 + y) + x(-1 + y)) = 25 ((-1 * -1 + y * -1) + x(-1 + y)) = 25 ((1 + -1y) + x(-1 + y)) = 25 (1 + -1y + (-1 * x + y * x)) = 25 (1 + -1y + (-1x + xy)) = 25 Reorder the terms: (1 + -1x + xy + -1y) = 25 (1 + -1x + xy + -1y) = 25 Solving 1 + -1x + xy + -1y = 25 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 = 25 + -1 Reorder the terms: 1 + -1 + -1x + xy + -1y = 25 + -1 Combine like terms: 1 + -1 = 0 0 + -1x + xy + -1y = 25 + -1 -1x + xy + -1y = 25 + -1 Combine like terms: 25 + -1 = 24 -1x + xy + -1y = 24 Add 'y' to each side of the equation. -1x + xy + -1y + y = 24 + y Combine like terms: -1y + y = 0 -1x + xy + 0 = 24 + y -1x + xy = 24 + y Reorder the terms: -24 + -1x + xy + -1y = 24 + y + -24 + -1y Reorder the terms: -24 + -1x + xy + -1y = 24 + -24 + y + -1y Combine like terms: 24 + -24 = 0 -24 + -1x + xy + -1y = 0 + y + -1y -24 + -1x + xy + -1y = y + -1y Combine like terms: y + -1y = 0 -24 + -1x + xy + -1y = 0 The solution to this equation could not be determined.
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