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Simplifying (X + 5)(x + 1) = 21 Reorder the terms: (5 + X)(x + 1) = 21 Reorder the terms: (5 + X)(1 + x) = 21 Multiply (5 + X) * (1 + x) (5(1 + x) + X(1 + x)) = 21 ((1 * 5 + x * 5) + X(1 + x)) = 21 ((5 + 5x) + X(1 + x)) = 21 (5 + 5x + (1 * X + x * X)) = 21 (5 + 5x + (1X + xX)) = 21 Reorder the terms: (5 + 1X + 5x + xX) = 21 (5 + 1X + 5x + xX) = 21 Solving 5 + 1X + 5x + xX = 21 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 = 21 + -5 Reorder the terms: 5 + -5 + 1X + 5x + xX = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 1X + 5x + xX = 21 + -5 1X + 5x + xX = 21 + -5 Combine like terms: 21 + -5 = 16 1X + 5x + xX = 16 Add '-5x' to each side of the equation. 1X + 5x + -5x + xX = 16 + -5x Combine like terms: 5x + -5x = 0 1X + 0 + xX = 16 + -5x 1X + xX = 16 + -5x Reorder the terms: -16 + 1X + 5x + xX = 16 + -5x + -16 + 5x Reorder the terms: -16 + 1X + 5x + xX = 16 + -16 + -5x + 5x Combine like terms: 16 + -16 = 0 -16 + 1X + 5x + xX = 0 + -5x + 5x -16 + 1X + 5x + xX = -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 1X + 5x + xX = 0 The solution to this equation could not be determined.
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