
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The complete graph of \( y = f(x) \), consisting of five line segments, is shown. The graph has segments joining points (-4, -5), (-2, -1), (-1, -2), (1, 2), (2, 1), and (4, 5). Determine the sum of the \( x \)-coordinates of all points where \( f(x) = x + 2 \).

Present the answer in LaTex format: \boxed{Your answer}
user