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Simplifying (X + 7)(x + 1) = 27 Reorder the terms: (7 + X)(x + 1) = 27 Reorder the terms: (7 + X)(1 + x) = 27 Multiply (7 + X) * (1 + x) (7(1 + x) + X(1 + x)) = 27 ((1 * 7 + x * 7) + X(1 + x)) = 27 ((7 + 7x) + X(1 + x)) = 27 (7 + 7x + (1 * X + x * X)) = 27 (7 + 7x + (1X + xX)) = 27 Reorder the terms: (7 + 1X + 7x + xX) = 27 (7 + 1X + 7x + xX) = 27 Solving 7 + 1X + 7x + xX = 27 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 1X + 7x + -7 + xX = 27 + -7 Reorder the terms: 7 + -7 + 1X + 7x + xX = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 1X + 7x + xX = 27 + -7 1X + 7x + xX = 27 + -7 Combine like terms: 27 + -7 = 20 1X + 7x + xX = 20 Add '-7x' to each side of the equation. 1X + 7x + -7x + xX = 20 + -7x Combine like terms: 7x + -7x = 0 1X + 0 + xX = 20 + -7x 1X + xX = 20 + -7x Reorder the terms: -20 + 1X + 7x + xX = 20 + -7x + -20 + 7x Reorder the terms: -20 + 1X + 7x + xX = 20 + -20 + -7x + 7x Combine like terms: 20 + -20 = 0 -20 + 1X + 7x + xX = 0 + -7x + 7x -20 + 1X + 7x + xX = -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 1X + 7x + xX = 0 The solution to this equation could not be determined.
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