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Simplifying (X + 2)(x + 3) = 100 Reorder the terms: (2 + X)(x + 3) = 100 Reorder the terms: (2 + X)(3 + x) = 100 Multiply (2 + X) * (3 + x) (2(3 + x) + X(3 + x)) = 100 ((3 * 2 + x * 2) + X(3 + x)) = 100 ((6 + 2x) + X(3 + x)) = 100 (6 + 2x + (3 * X + x * X)) = 100 (6 + 2x + (3X + xX)) = 100 Reorder the terms: (6 + 3X + 2x + xX) = 100 (6 + 3X + 2x + xX) = 100 Solving 6 + 3X + 2x + xX = 100 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 + 3X + 2x + -6 + xX = 100 + -6 Reorder the terms: 6 + -6 + 3X + 2x + xX = 100 + -6 Combine like terms: 6 + -6 = 0 0 + 3X + 2x + xX = 100 + -6 3X + 2x + xX = 100 + -6 Combine like terms: 100 + -6 = 94 3X + 2x + xX = 94 Add '-2x' to each side of the equation. 3X + 2x + -2x + xX = 94 + -2x Combine like terms: 2x + -2x = 0 3X + 0 + xX = 94 + -2x 3X + xX = 94 + -2x Reorder the terms: -94 + 3X + 2x + xX = 94 + -2x + -94 + 2x Reorder the terms: -94 + 3X + 2x + xX = 94 + -94 + -2x + 2x Combine like terms: 94 + -94 = 0 -94 + 3X + 2x + xX = 0 + -2x + 2x -94 + 3X + 2x + xX = -2x + 2x Combine like terms: -2x + 2x = 0 -94 + 3X + 2x + xX = 0 The solution to this equation could not be determined.
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