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Simplifying (X + -2)(3 + 2x) = 2x + 9 Reorder the terms: (-2 + X)(3 + 2x) = 2x + 9 Multiply (-2 + X) * (3 + 2x) (-2(3 + 2x) + X(3 + 2x)) = 2x + 9 ((3 * -2 + 2x * -2) + X(3 + 2x)) = 2x + 9 ((-6 + -4x) + X(3 + 2x)) = 2x + 9 (-6 + -4x + (3 * X + 2x * X)) = 2x + 9 (-6 + -4x + (3X + 2xX)) = 2x + 9 Reorder the terms: (-6 + 3X + -4x + 2xX) = 2x + 9 (-6 + 3X + -4x + 2xX) = 2x + 9 Reorder the terms: -6 + 3X + -4x + 2xX = 9 + 2x Solving -6 + 3X + -4x + 2xX = 9 + 2x 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 = 9 + 6 + 2x Reorder the terms: -6 + 6 + 3X + -4x + 2xX = 9 + 6 + 2x Combine like terms: -6 + 6 = 0 0 + 3X + -4x + 2xX = 9 + 6 + 2x 3X + -4x + 2xX = 9 + 6 + 2x Combine like terms: 9 + 6 = 15 3X + -4x + 2xX = 15 + 2x Add '4x' to each side of the equation. 3X + -4x + 4x + 2xX = 15 + 2x + 4x Combine like terms: -4x + 4x = 0 3X + 0 + 2xX = 15 + 2x + 4x 3X + 2xX = 15 + 2x + 4x Combine like terms: 2x + 4x = 6x 3X + 2xX = 15 + 6x Reorder the terms: -15 + 3X + -6x + 2xX = 15 + 6x + -15 + -6x Reorder the terms: -15 + 3X + -6x + 2xX = 15 + -15 + 6x + -6x Combine like terms: 15 + -15 = 0 -15 + 3X + -6x + 2xX = 0 + 6x + -6x -15 + 3X + -6x + 2xX = 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 3X + -6x + 2xX = 0 The solution to this equation could not be determined.
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