1+х/2х-1

To simplify the expression \( \frac{1 + x}{2x - 1} \), we can follow these steps:

1. The expression is already in its simplest form as a fraction.
2. If you're looking to perform operations, such as addition or subtraction with another fraction, or setting it equal to another expression, please provide additional details.

If you'd like assistance with a specific operation regarding this expression (such as solving for \( x \) or evaluating at a given \( x \)), please let me know!