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