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Simplifying (X + 3)(x + 5) = 38 Reorder the terms: (3 + X)(x + 5) = 38 Reorder the terms: (3 + X)(5 + x) = 38 Multiply (3 + X) * (5 + x) (3(5 + x) + X(5 + x)) = 38 ((5 * 3 + x * 3) + X(5 + x)) = 38 ((15 + 3x) + X(5 + x)) = 38 (15 + 3x + (5 * X + x * X)) = 38 (15 + 3x + (5X + xX)) = 38 Reorder the terms: (15 + 5X + 3x + xX) = 38 (15 + 5X + 3x + xX) = 38 Solving 15 + 5X + 3x + xX = 38 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 5X + 3x + -15 + xX = 38 + -15 Reorder the terms: 15 + -15 + 5X + 3x + xX = 38 + -15 Combine like terms: 15 + -15 = 0 0 + 5X + 3x + xX = 38 + -15 5X + 3x + xX = 38 + -15 Combine like terms: 38 + -15 = 23 5X + 3x + xX = 23 Add '-3x' to each side of the equation. 5X + 3x + -3x + xX = 23 + -3x Combine like terms: 3x + -3x = 0 5X + 0 + xX = 23 + -3x 5X + xX = 23 + -3x Reorder the terms: -23 + 5X + 3x + xX = 23 + -3x + -23 + 3x Reorder the terms: -23 + 5X + 3x + xX = 23 + -23 + -3x + 3x Combine like terms: 23 + -23 = 0 -23 + 5X + 3x + xX = 0 + -3x + 3x -23 + 5X + 3x + xX = -3x + 3x Combine like terms: -3x + 3x = 0 -23 + 5X + 3x + xX = 0 The solution to this equation could not be determined.
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