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Simplifying (X + 6)(5x + 2) = 23 Reorder the terms: (6 + X)(5x + 2) = 23 Reorder the terms: (6 + X)(2 + 5x) = 23 Multiply (6 + X) * (2 + 5x) (6(2 + 5x) + X(2 + 5x)) = 23 ((2 * 6 + 5x * 6) + X(2 + 5x)) = 23 ((12 + 30x) + X(2 + 5x)) = 23 (12 + 30x + (2 * X + 5x * X)) = 23 (12 + 30x + (2X + 5xX)) = 23 Reorder the terms: (12 + 2X + 30x + 5xX) = 23 (12 + 2X + 30x + 5xX) = 23 Solving 12 + 2X + 30x + 5xX = 23 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2X + 30x + -12 + 5xX = 23 + -12 Reorder the terms: 12 + -12 + 2X + 30x + 5xX = 23 + -12 Combine like terms: 12 + -12 = 0 0 + 2X + 30x + 5xX = 23 + -12 2X + 30x + 5xX = 23 + -12 Combine like terms: 23 + -12 = 11 2X + 30x + 5xX = 11 Add '-30x' to each side of the equation. 2X + 30x + -30x + 5xX = 11 + -30x Combine like terms: 30x + -30x = 0 2X + 0 + 5xX = 11 + -30x 2X + 5xX = 11 + -30x Reorder the terms: -11 + 2X + 30x + 5xX = 11 + -30x + -11 + 30x Reorder the terms: -11 + 2X + 30x + 5xX = 11 + -11 + -30x + 30x Combine like terms: 11 + -11 = 0 -11 + 2X + 30x + 5xX = 0 + -30x + 30x -11 + 2X + 30x + 5xX = -30x + 30x Combine like terms: -30x + 30x = 0 -11 + 2X + 30x + 5xX = 0 The solution to this equation could not be determined.
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