13x^2 - 5x - 2(x - 1) + x

Let's simplify the expression step by step. We start with:

\[
13x^2 - 5x - 2(x - 1) + x
\]

1. **Distribute \(-2\) in the second term:**
\[
-2(x - 1) = -2x + 2
\]

So, we rewrite the expression as:
\[
13x^2 - 5x - 2x + 2 + x
\]

2. **Combine like terms (the \(x\) terms):**
\[
-5x - 2x + x = -6x
\]

3. **So, the simplified expression becomes:**
\[
13x^2 - 6x + 2
\]

This is the final simplified form of the expression. If you need further steps for the calculation or any specific instructions, let me know!