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Simplifying (X + 7)(5x + 1) = 0 Reorder the terms: (7 + X)(5x + 1) = 0 Reorder the terms: (7 + X)(1 + 5x) = 0 Multiply (7 + X) * (1 + 5x) (7(1 + 5x) + X(1 + 5x)) = 0 ((1 * 7 + 5x * 7) + X(1 + 5x)) = 0 ((7 + 35x) + X(1 + 5x)) = 0 (7 + 35x + (1 * X + 5x * X)) = 0 (7 + 35x + (1X + 5xX)) = 0 Reorder the terms: (7 + 1X + 35x + 5xX) = 0 (7 + 1X + 35x + 5xX) = 0 Solving 7 + 1X + 35x + 5xX = 0 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 + 35x + -7 + 5xX = 0 + -7 Reorder the terms: 7 + -7 + 1X + 35x + 5xX = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1X + 35x + 5xX = 0 + -7 1X + 35x + 5xX = 0 + -7 Combine like terms: 0 + -7 = -7 1X + 35x + 5xX = -7 Add '-35x' to each side of the equation. 1X + 35x + -35x + 5xX = -7 + -35x Combine like terms: 35x + -35x = 0 1X + 0 + 5xX = -7 + -35x 1X + 5xX = -7 + -35x Reorder the terms: 7 + 1X + 35x + 5xX = -7 + -35x + 7 + 35x Reorder the terms: 7 + 1X + 35x + 5xX = -7 + 7 + -35x + 35x Combine like terms: -7 + 7 = 0 7 + 1X + 35x + 5xX = 0 + -35x + 35x 7 + 1X + 35x + 5xX = -35x + 35x Combine like terms: -35x + 35x = 0 7 + 1X + 35x + 5xX = 0 The solution to this equation could not be determined.
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