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Simplifying (X + 2)(2x + -3) = 6 Reorder the terms: (2 + X)(2x + -3) = 6 Reorder the terms: (2 + X)(-3 + 2x) = 6 Multiply (2 + X) * (-3 + 2x) (2(-3 + 2x) + X(-3 + 2x)) = 6 ((-3 * 2 + 2x * 2) + X(-3 + 2x)) = 6 ((-6 + 4x) + X(-3 + 2x)) = 6 (-6 + 4x + (-3 * X + 2x * X)) = 6 (-6 + 4x + (-3X + 2xX)) = 6 Reorder the terms: (-6 + -3X + 4x + 2xX) = 6 (-6 + -3X + 4x + 2xX) = 6 Solving -6 + -3X + 4x + 2xX = 6 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 + 4x + 6 + 2xX = 6 + 6 Reorder the terms: -6 + 6 + -3X + 4x + 2xX = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -3X + 4x + 2xX = 6 + 6 -3X + 4x + 2xX = 6 + 6 Combine like terms: 6 + 6 = 12 -3X + 4x + 2xX = 12 Add '-4x' to each side of the equation. -3X + 4x + -4x + 2xX = 12 + -4x Combine like terms: 4x + -4x = 0 -3X + 0 + 2xX = 12 + -4x -3X + 2xX = 12 + -4x Reorder the terms: -12 + -3X + 4x + 2xX = 12 + -4x + -12 + 4x Reorder the terms: -12 + -3X + 4x + 2xX = 12 + -12 + -4x + 4x Combine like terms: 12 + -12 = 0 -12 + -3X + 4x + 2xX = 0 + -4x + 4x -12 + -3X + 4x + 2xX = -4x + 4x Combine like terms: -4x + 4x = 0 -12 + -3X + 4x + 2xX = 0 The solution to this equation could not be determined.
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