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Simplifying (X + -3)(2x + 9) = (9)(3x + 2) Reorder the terms: (-3 + X)(2x + 9) = (9)(3x + 2) Reorder the terms: (-3 + X)(9 + 2x) = (9)(3x + 2) Multiply (-3 + X) * (9 + 2x) (-3(9 + 2x) + X(9 + 2x)) = (9)(3x + 2) ((9 * -3 + 2x * -3) + X(9 + 2x)) = (9)(3x + 2) ((-27 + -6x) + X(9 + 2x)) = (9)(3x + 2) (-27 + -6x + (9 * X + 2x * X)) = (9)(3x + 2) (-27 + -6x + (9X + 2xX)) = (9)(3x + 2) Reorder the terms: (-27 + 9X + -6x + 2xX) = (9)(3x + 2) (-27 + 9X + -6x + 2xX) = (9)(3x + 2) Reorder the terms: -27 + 9X + -6x + 2xX = 9(2 + 3x) -27 + 9X + -6x + 2xX = (2 * 9 + 3x * 9) -27 + 9X + -6x + 2xX = (18 + 27x) Solving -27 + 9X + -6x + 2xX = 18 + 27x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 9X + -6x + 27 + 2xX = 18 + 27 + 27x Reorder the terms: -27 + 27 + 9X + -6x + 2xX = 18 + 27 + 27x Combine like terms: -27 + 27 = 0 0 + 9X + -6x + 2xX = 18 + 27 + 27x 9X + -6x + 2xX = 18 + 27 + 27x Combine like terms: 18 + 27 = 45 9X + -6x + 2xX = 45 + 27x Add '6x' to each side of the equation. 9X + -6x + 6x + 2xX = 45 + 27x + 6x Combine like terms: -6x + 6x = 0 9X + 0 + 2xX = 45 + 27x + 6x 9X + 2xX = 45 + 27x + 6x Combine like terms: 27x + 6x = 33x 9X + 2xX = 45 + 33x Reorder the terms: -45 + 9X + -33x + 2xX = 45 + 33x + -45 + -33x Reorder the terms: -45 + 9X + -33x + 2xX = 45 + -45 + 33x + -33x Combine like terms: 45 + -45 = 0 -45 + 9X + -33x + 2xX = 0 + 33x + -33x -45 + 9X + -33x + 2xX = 33x + -33x Combine like terms: 33x + -33x = 0 -45 + 9X + -33x + 2xX = 0 The solution to this equation could not be determined.
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