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Simplifying (X + 7)(x + 2) = 66 Reorder the terms: (7 + X)(x + 2) = 66 Reorder the terms: (7 + X)(2 + x) = 66 Multiply (7 + X) * (2 + x) (7(2 + x) + X(2 + x)) = 66 ((2 * 7 + x * 7) + X(2 + x)) = 66 ((14 + 7x) + X(2 + x)) = 66 (14 + 7x + (2 * X + x * X)) = 66 (14 + 7x + (2X + xX)) = 66 Reorder the terms: (14 + 2X + 7x + xX) = 66 (14 + 2X + 7x + xX) = 66 Solving 14 + 2X + 7x + xX = 66 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 2X + 7x + -14 + xX = 66 + -14 Reorder the terms: 14 + -14 + 2X + 7x + xX = 66 + -14 Combine like terms: 14 + -14 = 0 0 + 2X + 7x + xX = 66 + -14 2X + 7x + xX = 66 + -14 Combine like terms: 66 + -14 = 52 2X + 7x + xX = 52 Add '-7x' to each side of the equation. 2X + 7x + -7x + xX = 52 + -7x Combine like terms: 7x + -7x = 0 2X + 0 + xX = 52 + -7x 2X + xX = 52 + -7x Reorder the terms: -52 + 2X + 7x + xX = 52 + -7x + -52 + 7x Reorder the terms: -52 + 2X + 7x + xX = 52 + -52 + -7x + 7x Combine like terms: 52 + -52 = 0 -52 + 2X + 7x + xX = 0 + -7x + 7x -52 + 2X + 7x + xX = -7x + 7x Combine like terms: -7x + 7x = 0 -52 + 2X + 7x + xX = 0 The solution to this equation could not be determined.
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