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Simplifying (X + 4)(x + 5) = 7 Reorder the terms: (4 + X)(x + 5) = 7 Reorder the terms: (4 + X)(5 + x) = 7 Multiply (4 + X) * (5 + x) (4(5 + x) + X(5 + x)) = 7 ((5 * 4 + x * 4) + X(5 + x)) = 7 ((20 + 4x) + X(5 + x)) = 7 (20 + 4x + (5 * X + x * X)) = 7 (20 + 4x + (5X + xX)) = 7 Reorder the terms: (20 + 5X + 4x + xX) = 7 (20 + 5X + 4x + xX) = 7 Solving 20 + 5X + 4x + xX = 7 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 = 7 + -20 Reorder the terms: 20 + -20 + 5X + 4x + xX = 7 + -20 Combine like terms: 20 + -20 = 0 0 + 5X + 4x + xX = 7 + -20 5X + 4x + xX = 7 + -20 Combine like terms: 7 + -20 = -13 5X + 4x + xX = -13 Add '-4x' to each side of the equation. 5X + 4x + -4x + xX = -13 + -4x Combine like terms: 4x + -4x = 0 5X + 0 + xX = -13 + -4x 5X + xX = -13 + -4x Reorder the terms: 13 + 5X + 4x + xX = -13 + -4x + 13 + 4x Reorder the terms: 13 + 5X + 4x + xX = -13 + 13 + -4x + 4x Combine like terms: -13 + 13 = 0 13 + 5X + 4x + xX = 0 + -4x + 4x 13 + 5X + 4x + xX = -4x + 4x Combine like terms: -4x + 4x = 0 13 + 5X + 4x + xX = 0 The solution to this equation could not be determined.
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