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Simplifying (x + -2)(2X + -3) + 3 = 0 Reorder the terms: (-2 + x)(2X + -3) + 3 = 0 Reorder the terms: (-2 + x)(-3 + 2X) + 3 = 0 Multiply (-2 + x) * (-3 + 2X) (-2(-3 + 2X) + x(-3 + 2X)) + 3 = 0 ((-3 * -2 + 2X * -2) + x(-3 + 2X)) + 3 = 0 ((6 + -4X) + x(-3 + 2X)) + 3 = 0 (6 + -4X + (-3 * x + 2X * x)) + 3 = 0 (6 + -4X + (-3x + 2xX)) + 3 = 0 (6 + -4X + -3x + 2xX) + 3 = 0 Reorder the terms: 6 + 3 + -4X + -3x + 2xX = 0 Combine like terms: 6 + 3 = 9 9 + -4X + -3x + 2xX = 0 Solving 9 + -4X + -3x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -4X + -3x + -9 + 2xX = 0 + -9 Reorder the terms: 9 + -9 + -4X + -3x + 2xX = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4X + -3x + 2xX = 0 + -9 -4X + -3x + 2xX = 0 + -9 Combine like terms: 0 + -9 = -9 -4X + -3x + 2xX = -9 Add '3x' to each side of the equation. -4X + -3x + 3x + 2xX = -9 + 3x Combine like terms: -3x + 3x = 0 -4X + 0 + 2xX = -9 + 3x -4X + 2xX = -9 + 3x Reorder the terms: 9 + -4X + -3x + 2xX = -9 + 3x + 9 + -3x Reorder the terms: 9 + -4X + -3x + 2xX = -9 + 9 + 3x + -3x Combine like terms: -9 + 9 = 0 9 + -4X + -3x + 2xX = 0 + 3x + -3x 9 + -4X + -3x + 2xX = 3x + -3x Combine like terms: 3x + -3x = 0 9 + -4X + -3x + 2xX = 0 The solution to this equation could not be determined.
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