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Simplifying (X + -1)(x + -1) = 81 Reorder the terms: (-1 + X)(x + -1) = 81 Reorder the terms: (-1 + X)(-1 + x) = 81 Multiply (-1 + X) * (-1 + x) (-1(-1 + x) + X(-1 + x)) = 81 ((-1 * -1 + x * -1) + X(-1 + x)) = 81 ((1 + -1x) + X(-1 + x)) = 81 (1 + -1x + (-1 * X + x * X)) = 81 (1 + -1x + (-1X + xX)) = 81 Reorder the terms: (1 + -1X + -1x + xX) = 81 (1 + -1X + -1x + xX) = 81 Solving 1 + -1X + -1x + xX = 81 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 + -1x + -1 + xX = 81 + -1 Reorder the terms: 1 + -1 + -1X + -1x + xX = 81 + -1 Combine like terms: 1 + -1 = 0 0 + -1X + -1x + xX = 81 + -1 -1X + -1x + xX = 81 + -1 Combine like terms: 81 + -1 = 80 -1X + -1x + xX = 80 Add 'x' to each side of the equation. -1X + -1x + x + xX = 80 + x Combine like terms: -1x + x = 0 -1X + 0 + xX = 80 + x -1X + xX = 80 + x Reorder the terms: -80 + -1X + -1x + xX = 80 + x + -80 + -1x Reorder the terms: -80 + -1X + -1x + xX = 80 + -80 + x + -1x Combine like terms: 80 + -80 = 0 -80 + -1X + -1x + xX = 0 + x + -1x -80 + -1X + -1x + xX = x + -1x Combine like terms: x + -1x = 0 -80 + -1X + -1x + xX = 0 The solution to this equation could not be determined.
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