\[3x^{\backslash 2x - 3} + \frac{3 + 4x - 4x^{2}}{2x - 3} + 1^{\backslash 2x - 3} =\]
\[= \frac{6x^{2} - 9x + 3 + 4x - 4x^{2} + 2x - 3}{2x - 3} =\]
\[= \frac{2x^{2} - 3x}{2x - 3} = \frac{x(2x - 3)}{2x - 3} = x.\]