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Simplifying (X + 7)(x + 3) = 24 Reorder the terms: (7 + X)(x + 3) = 24 Reorder the terms: (7 + X)(3 + x) = 24 Multiply (7 + X) * (3 + x) (7(3 + x) + X(3 + x)) = 24 ((3 * 7 + x * 7) + X(3 + x)) = 24 ((21 + 7x) + X(3 + x)) = 24 (21 + 7x + (3 * X + x * X)) = 24 (21 + 7x + (3X + xX)) = 24 Reorder the terms: (21 + 3X + 7x + xX) = 24 (21 + 3X + 7x + xX) = 24 Solving 21 + 3X + 7x + xX = 24 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 3X + 7x + -21 + xX = 24 + -21 Reorder the terms: 21 + -21 + 3X + 7x + xX = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 3X + 7x + xX = 24 + -21 3X + 7x + xX = 24 + -21 Combine like terms: 24 + -21 = 3 3X + 7x + xX = 3 Add '-7x' to each side of the equation. 3X + 7x + -7x + xX = 3 + -7x Combine like terms: 7x + -7x = 0 3X + 0 + xX = 3 + -7x 3X + xX = 3 + -7x Reorder the terms: -3 + 3X + 7x + xX = 3 + -7x + -3 + 7x Reorder the terms: -3 + 3X + 7x + xX = 3 + -3 + -7x + 7x Combine like terms: 3 + -3 = 0 -3 + 3X + 7x + xX = 0 + -7x + 7x -3 + 3X + 7x + xX = -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 3X + 7x + xX = 0 The solution to this equation could not be determined.
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