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Simplifying (X + 2)(x + 7) = 76 Reorder the terms: (2 + X)(x + 7) = 76 Reorder the terms: (2 + X)(7 + x) = 76 Multiply (2 + X) * (7 + x) (2(7 + x) + X(7 + x)) = 76 ((7 * 2 + x * 2) + X(7 + x)) = 76 ((14 + 2x) + X(7 + x)) = 76 (14 + 2x + (7 * X + x * X)) = 76 (14 + 2x + (7X + xX)) = 76 Reorder the terms: (14 + 7X + 2x + xX) = 76 (14 + 7X + 2x + xX) = 76 Solving 14 + 7X + 2x + xX = 76 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 + 7X + 2x + -14 + xX = 76 + -14 Reorder the terms: 14 + -14 + 7X + 2x + xX = 76 + -14 Combine like terms: 14 + -14 = 0 0 + 7X + 2x + xX = 76 + -14 7X + 2x + xX = 76 + -14 Combine like terms: 76 + -14 = 62 7X + 2x + xX = 62 Add '-2x' to each side of the equation. 7X + 2x + -2x + xX = 62 + -2x Combine like terms: 2x + -2x = 0 7X + 0 + xX = 62 + -2x 7X + xX = 62 + -2x Reorder the terms: -62 + 7X + 2x + xX = 62 + -2x + -62 + 2x Reorder the terms: -62 + 7X + 2x + xX = 62 + -62 + -2x + 2x Combine like terms: 62 + -62 = 0 -62 + 7X + 2x + xX = 0 + -2x + 2x -62 + 7X + 2x + xX = -2x + 2x Combine like terms: -2x + 2x = 0 -62 + 7X + 2x + xX = 0 The solution to this equation could not be determined.
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