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Simplifying (X + 5)(x + 1) = 32 Reorder the terms: (5 + X)(x + 1) = 32 Reorder the terms: (5 + X)(1 + x) = 32 Multiply (5 + X) * (1 + x) (5(1 + x) + X(1 + x)) = 32 ((1 * 5 + x * 5) + X(1 + x)) = 32 ((5 + 5x) + X(1 + x)) = 32 (5 + 5x + (1 * X + x * X)) = 32 (5 + 5x + (1X + xX)) = 32 Reorder the terms: (5 + 1X + 5x + xX) = 32 (5 + 1X + 5x + xX) = 32 Solving 5 + 1X + 5x + xX = 32 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 1X + 5x + -5 + xX = 32 + -5 Reorder the terms: 5 + -5 + 1X + 5x + xX = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 1X + 5x + xX = 32 + -5 1X + 5x + xX = 32 + -5 Combine like terms: 32 + -5 = 27 1X + 5x + xX = 27 Add '-5x' to each side of the equation. 1X + 5x + -5x + xX = 27 + -5x Combine like terms: 5x + -5x = 0 1X + 0 + xX = 27 + -5x 1X + xX = 27 + -5x Reorder the terms: -27 + 1X + 5x + xX = 27 + -5x + -27 + 5x Reorder the terms: -27 + 1X + 5x + xX = 27 + -27 + -5x + 5x Combine like terms: 27 + -27 = 0 -27 + 1X + 5x + xX = 0 + -5x + 5x -27 + 1X + 5x + xX = -5x + 5x Combine like terms: -5x + 5x = 0 -27 + 1X + 5x + xX = 0 The solution to this equation could not be determined.
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