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Simplifying (X + 3)(x + 2) = 15 Reorder the terms: (3 + X)(x + 2) = 15 Reorder the terms: (3 + X)(2 + x) = 15 Multiply (3 + X) * (2 + x) (3(2 + x) + X(2 + x)) = 15 ((2 * 3 + x * 3) + X(2 + x)) = 15 ((6 + 3x) + X(2 + x)) = 15 (6 + 3x + (2 * X + x * X)) = 15 (6 + 3x + (2X + xX)) = 15 Reorder the terms: (6 + 2X + 3x + xX) = 15 (6 + 2X + 3x + xX) = 15 Solving 6 + 2X + 3x + xX = 15 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2X + 3x + -6 + xX = 15 + -6 Reorder the terms: 6 + -6 + 2X + 3x + xX = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 2X + 3x + xX = 15 + -6 2X + 3x + xX = 15 + -6 Combine like terms: 15 + -6 = 9 2X + 3x + xX = 9 Add '-3x' to each side of the equation. 2X + 3x + -3x + xX = 9 + -3x Combine like terms: 3x + -3x = 0 2X + 0 + xX = 9 + -3x 2X + xX = 9 + -3x Reorder the terms: -9 + 2X + 3x + xX = 9 + -3x + -9 + 3x Reorder the terms: -9 + 2X + 3x + xX = 9 + -9 + -3x + 3x Combine like terms: 9 + -9 = 0 -9 + 2X + 3x + xX = 0 + -3x + 3x -9 + 2X + 3x + xX = -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 2X + 3x + xX = 0 The solution to this equation could not be determined.
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