The problem is to solve the equation $x + 2 - 13 = 11$ for the variable $x$.

1. Problem Description

The problem is to solve the equation $x + 2 - 13 = 11$ for the variable $x$.

2. Solution Steps

First, we simplify the left side of the equation:

$x + 2 - 13 = x - 11$

So the equation becomes:

$x - 11 = 11$

Next, we isolate $x$ by adding 11 to both sides of the equation:

$x - 11 + 11 = 11 + 11$

$x = 22$

3. Final Answer

The final answer is $x = 22$.