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Simplifying (X + -4)(2x + 3) = 12 Reorder the terms: (-4 + X)(2x + 3) = 12 Reorder the terms: (-4 + X)(3 + 2x) = 12 Multiply (-4 + X) * (3 + 2x) (-4(3 + 2x) + X(3 + 2x)) = 12 ((3 * -4 + 2x * -4) + X(3 + 2x)) = 12 ((-12 + -8x) + X(3 + 2x)) = 12 (-12 + -8x + (3 * X + 2x * X)) = 12 (-12 + -8x + (3X + 2xX)) = 12 Reorder the terms: (-12 + 3X + -8x + 2xX) = 12 (-12 + 3X + -8x + 2xX) = 12 Solving -12 + 3X + -8x + 2xX = 12 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 3X + -8x + 12 + 2xX = 12 + 12 Reorder the terms: -12 + 12 + 3X + -8x + 2xX = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 3X + -8x + 2xX = 12 + 12 3X + -8x + 2xX = 12 + 12 Combine like terms: 12 + 12 = 24 3X + -8x + 2xX = 24 Add '8x' to each side of the equation. 3X + -8x + 8x + 2xX = 24 + 8x Combine like terms: -8x + 8x = 0 3X + 0 + 2xX = 24 + 8x 3X + 2xX = 24 + 8x Reorder the terms: -24 + 3X + -8x + 2xX = 24 + 8x + -24 + -8x Reorder the terms: -24 + 3X + -8x + 2xX = 24 + -24 + 8x + -8x Combine like terms: 24 + -24 = 0 -24 + 3X + -8x + 2xX = 0 + 8x + -8x -24 + 3X + -8x + 2xX = 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 3X + -8x + 2xX = 0 The solution to this equation could not be determined.
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