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Simplifying (X + 6)(x + 2) = 117 Reorder the terms: (6 + X)(x + 2) = 117 Reorder the terms: (6 + X)(2 + x) = 117 Multiply (6 + X) * (2 + x) (6(2 + x) + X(2 + x)) = 117 ((2 * 6 + x * 6) + X(2 + x)) = 117 ((12 + 6x) + X(2 + x)) = 117 (12 + 6x + (2 * X + x * X)) = 117 (12 + 6x + (2X + xX)) = 117 Reorder the terms: (12 + 2X + 6x + xX) = 117 (12 + 2X + 6x + xX) = 117 Solving 12 + 2X + 6x + xX = 117 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 + 6x + -12 + xX = 117 + -12 Reorder the terms: 12 + -12 + 2X + 6x + xX = 117 + -12 Combine like terms: 12 + -12 = 0 0 + 2X + 6x + xX = 117 + -12 2X + 6x + xX = 117 + -12 Combine like terms: 117 + -12 = 105 2X + 6x + xX = 105 Add '-6x' to each side of the equation. 2X + 6x + -6x + xX = 105 + -6x Combine like terms: 6x + -6x = 0 2X + 0 + xX = 105 + -6x 2X + xX = 105 + -6x Reorder the terms: -105 + 2X + 6x + xX = 105 + -6x + -105 + 6x Reorder the terms: -105 + 2X + 6x + xX = 105 + -105 + -6x + 6x Combine like terms: 105 + -105 = 0 -105 + 2X + 6x + xX = 0 + -6x + 6x -105 + 2X + 6x + xX = -6x + 6x Combine like terms: -6x + 6x = 0 -105 + 2X + 6x + xX = 0 The solution to this equation could not be determined.
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