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Simplifying (X + -4)(x + 5) = 1 Reorder the terms: (-4 + X)(x + 5) = 1 Reorder the terms: (-4 + X)(5 + x) = 1 Multiply (-4 + X) * (5 + x) (-4(5 + x) + X(5 + x)) = 1 ((5 * -4 + x * -4) + X(5 + x)) = 1 ((-20 + -4x) + X(5 + x)) = 1 (-20 + -4x + (5 * X + x * X)) = 1 (-20 + -4x + (5X + xX)) = 1 Reorder the terms: (-20 + 5X + -4x + xX) = 1 (-20 + 5X + -4x + xX) = 1 Solving -20 + 5X + -4x + xX = 1 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 5X + -4x + 20 + xX = 1 + 20 Reorder the terms: -20 + 20 + 5X + -4x + xX = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 5X + -4x + xX = 1 + 20 5X + -4x + xX = 1 + 20 Combine like terms: 1 + 20 = 21 5X + -4x + xX = 21 Add '4x' to each side of the equation. 5X + -4x + 4x + xX = 21 + 4x Combine like terms: -4x + 4x = 0 5X + 0 + xX = 21 + 4x 5X + xX = 21 + 4x Reorder the terms: -21 + 5X + -4x + xX = 21 + 4x + -21 + -4x Reorder the terms: -21 + 5X + -4x + xX = 21 + -21 + 4x + -4x Combine like terms: 21 + -21 = 0 -21 + 5X + -4x + xX = 0 + 4x + -4x -21 + 5X + -4x + xX = 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 5X + -4x + xX = 0 The solution to this equation could not be determined.
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