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Simplifying (X + 1)(3x + 1) = 65 Reorder the terms: (1 + X)(3x + 1) = 65 Reorder the terms: (1 + X)(1 + 3x) = 65 Multiply (1 + X) * (1 + 3x) (1(1 + 3x) + X(1 + 3x)) = 65 ((1 * 1 + 3x * 1) + X(1 + 3x)) = 65 ((1 + 3x) + X(1 + 3x)) = 65 (1 + 3x + (1 * X + 3x * X)) = 65 (1 + 3x + (1X + 3xX)) = 65 Reorder the terms: (1 + 1X + 3x + 3xX) = 65 (1 + 1X + 3x + 3xX) = 65 Solving 1 + 1X + 3x + 3xX = 65 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 + 3x + -1 + 3xX = 65 + -1 Reorder the terms: 1 + -1 + 1X + 3x + 3xX = 65 + -1 Combine like terms: 1 + -1 = 0 0 + 1X + 3x + 3xX = 65 + -1 1X + 3x + 3xX = 65 + -1 Combine like terms: 65 + -1 = 64 1X + 3x + 3xX = 64 Add '-3x' to each side of the equation. 1X + 3x + -3x + 3xX = 64 + -3x Combine like terms: 3x + -3x = 0 1X + 0 + 3xX = 64 + -3x 1X + 3xX = 64 + -3x Reorder the terms: -64 + 1X + 3x + 3xX = 64 + -3x + -64 + 3x Reorder the terms: -64 + 1X + 3x + 3xX = 64 + -64 + -3x + 3x Combine like terms: 64 + -64 = 0 -64 + 1X + 3x + 3xX = 0 + -3x + 3x -64 + 1X + 3x + 3xX = -3x + 3x Combine like terms: -3x + 3x = 0 -64 + 1X + 3x + 3xX = 0 The solution to this equation could not be determined.
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