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Simplifying (X + 1)(2x + 5) + 1 = 0 Reorder the terms: (1 + X)(2x + 5) + 1 = 0 Reorder the terms: (1 + X)(5 + 2x) + 1 = 0 Multiply (1 + X) * (5 + 2x) (1(5 + 2x) + X(5 + 2x)) + 1 = 0 ((5 * 1 + 2x * 1) + X(5 + 2x)) + 1 = 0 ((5 + 2x) + X(5 + 2x)) + 1 = 0 (5 + 2x + (5 * X + 2x * X)) + 1 = 0 (5 + 2x + (5X + 2xX)) + 1 = 0 Reorder the terms: (5 + 5X + 2x + 2xX) + 1 = 0 (5 + 5X + 2x + 2xX) + 1 = 0 Reorder the terms: 5 + 1 + 5X + 2x + 2xX = 0 Combine like terms: 5 + 1 = 6 6 + 5X + 2x + 2xX = 0 Solving 6 + 5X + 2x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 5X + 2x + -6 + 2xX = 0 + -6 Reorder the terms: 6 + -6 + 5X + 2x + 2xX = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5X + 2x + 2xX = 0 + -6 5X + 2x + 2xX = 0 + -6 Combine like terms: 0 + -6 = -6 5X + 2x + 2xX = -6 Add '-2x' to each side of the equation. 5X + 2x + -2x + 2xX = -6 + -2x Combine like terms: 2x + -2x = 0 5X + 0 + 2xX = -6 + -2x 5X + 2xX = -6 + -2x Reorder the terms: 6 + 5X + 2x + 2xX = -6 + -2x + 6 + 2x Reorder the terms: 6 + 5X + 2x + 2xX = -6 + 6 + -2x + 2x Combine like terms: -6 + 6 = 0 6 + 5X + 2x + 2xX = 0 + -2x + 2x 6 + 5X + 2x + 2xX = -2x + 2x Combine like terms: -2x + 2x = 0 6 + 5X + 2x + 2xX = 0 The solution to this equation could not be determined.
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