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Simplifying (X + 2)(x + 3) + 12 = 0 Reorder the terms: (2 + X)(x + 3) + 12 = 0 Reorder the terms: (2 + X)(3 + x) + 12 = 0 Multiply (2 + X) * (3 + x) (2(3 + x) + X(3 + x)) + 12 = 0 ((3 * 2 + x * 2) + X(3 + x)) + 12 = 0 ((6 + 2x) + X(3 + x)) + 12 = 0 (6 + 2x + (3 * X + x * X)) + 12 = 0 (6 + 2x + (3X + xX)) + 12 = 0 Reorder the terms: (6 + 3X + 2x + xX) + 12 = 0 (6 + 3X + 2x + xX) + 12 = 0 Reorder the terms: 6 + 12 + 3X + 2x + xX = 0 Combine like terms: 6 + 12 = 18 18 + 3X + 2x + xX = 0 Solving 18 + 3X + 2x + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 3X + 2x + -18 + xX = 0 + -18 Reorder the terms: 18 + -18 + 3X + 2x + xX = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3X + 2x + xX = 0 + -18 3X + 2x + xX = 0 + -18 Combine like terms: 0 + -18 = -18 3X + 2x + xX = -18 Add '-2x' to each side of the equation. 3X + 2x + -2x + xX = -18 + -2x Combine like terms: 2x + -2x = 0 3X + 0 + xX = -18 + -2x 3X + xX = -18 + -2x Reorder the terms: 18 + 3X + 2x + xX = -18 + -2x + 18 + 2x Reorder the terms: 18 + 3X + 2x + xX = -18 + 18 + -2x + 2x Combine like terms: -18 + 18 = 0 18 + 3X + 2x + xX = 0 + -2x + 2x 18 + 3X + 2x + xX = -2x + 2x Combine like terms: -2x + 2x = 0 18 + 3X + 2x + xX = 0 The solution to this equation could not be determined.
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