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Simplifying (X + 2)(x + -3) = 2x(x + -4) Reorder the terms: (2 + X)(x + -3) = 2x(x + -4) Reorder the terms: (2 + X)(-3 + x) = 2x(x + -4) Multiply (2 + X) * (-3 + x) (2(-3 + x) + X(-3 + x)) = 2x(x + -4) ((-3 * 2 + x * 2) + X(-3 + x)) = 2x(x + -4) ((-6 + 2x) + X(-3 + x)) = 2x(x + -4) (-6 + 2x + (-3 * X + x * X)) = 2x(x + -4) (-6 + 2x + (-3X + xX)) = 2x(x + -4) Reorder the terms: (-6 + -3X + 2x + xX) = 2x(x + -4) (-6 + -3X + 2x + xX) = 2x(x + -4) Reorder the terms: -6 + -3X + 2x + xX = 2x(-4 + x) -6 + -3X + 2x + xX = (-4 * 2x + x * 2x) -6 + -3X + 2x + xX = (-8x + 2x2) Solving -6 + -3X + 2x + xX = -8x + 2x2 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 = -8x + 6 + 2x2 Reorder the terms: -6 + 6 + -3X + 2x + xX = -8x + 6 + 2x2 Combine like terms: -6 + 6 = 0 0 + -3X + 2x + xX = -8x + 6 + 2x2 -3X + 2x + xX = -8x + 6 + 2x2 Reorder the terms: -3X + 2x + xX = 6 + -8x + 2x2 Add '-2x' to each side of the equation. -3X + 2x + -2x + xX = 6 + -8x + -2x + 2x2 Combine like terms: 2x + -2x = 0 -3X + 0 + xX = 6 + -8x + -2x + 2x2 -3X + xX = 6 + -8x + -2x + 2x2 Combine like terms: -8x + -2x = -10x -3X + xX = 6 + -10x + 2x2 Reorder the terms: -6 + -3X + 10x + xX + -2x2 = 6 + -10x + 2x2 + -6 + 10x + -2x2 Reorder the terms: -6 + -3X + 10x + xX + -2x2 = 6 + -6 + -10x + 10x + 2x2 + -2x2 Combine like terms: 6 + -6 = 0 -6 + -3X + 10x + xX + -2x2 = 0 + -10x + 10x + 2x2 + -2x2 -6 + -3X + 10x + xX + -2x2 = -10x + 10x + 2x2 + -2x2 Combine like terms: -10x + 10x = 0 -6 + -3X + 10x + xX + -2x2 = 0 + 2x2 + -2x2 -6 + -3X + 10x + xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6 + -3X + 10x + xX + -2x2 = 0 The solution to this equation could not be determined.
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