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