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Simplifying (X + 5)(x + 3) = 33 Reorder the terms: (5 + X)(x + 3) = 33 Reorder the terms: (5 + X)(3 + x) = 33 Multiply (5 + X) * (3 + x) (5(3 + x) + X(3 + x)) = 33 ((3 * 5 + x * 5) + X(3 + x)) = 33 ((15 + 5x) + X(3 + x)) = 33 (15 + 5x + (3 * X + x * X)) = 33 (15 + 5x + (3X + xX)) = 33 Reorder the terms: (15 + 3X + 5x + xX) = 33 (15 + 3X + 5x + xX) = 33 Solving 15 + 3X + 5x + xX = 33 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 + 3X + 5x + -15 + xX = 33 + -15 Reorder the terms: 15 + -15 + 3X + 5x + xX = 33 + -15 Combine like terms: 15 + -15 = 0 0 + 3X + 5x + xX = 33 + -15 3X + 5x + xX = 33 + -15 Combine like terms: 33 + -15 = 18 3X + 5x + xX = 18 Add '-5x' to each side of the equation. 3X + 5x + -5x + xX = 18 + -5x Combine like terms: 5x + -5x = 0 3X + 0 + xX = 18 + -5x 3X + xX = 18 + -5x Reorder the terms: -18 + 3X + 5x + xX = 18 + -5x + -18 + 5x Reorder the terms: -18 + 3X + 5x + xX = 18 + -18 + -5x + 5x Combine like terms: 18 + -18 = 0 -18 + 3X + 5x + xX = 0 + -5x + 5x -18 + 3X + 5x + xX = -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 3X + 5x + xX = 0 The solution to this equation could not be determined.
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