Simplify the complex fraction: 1x+11x−1\dfrac{\dfrac{1}{x} + 1}{\dfrac{1}{x} - 1}x1−1x1+1.
x+11−x\dfrac{x + 1}{1 - x}1−xx+1
1+xx−1\dfrac{1 + x}{x - 1}x−11+x
xx−1\dfrac{x}{x-1}x−1x
x+1x−1\dfrac{x + 1}{x - 1}x−1x+1