
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 \( y=f(x) \), which consists of three linear segments, is shown below. The graph segments are as follows:
- from \( (-4,-5) \) to \( (-1,-2) \) with an upward slope,
- from \( (-1,-2) \) to \( (1,2) \) with an upward slope,
- from \( (1,2) \) to \( (4,5) \) with an upward slope.
What is the sum of the \( x \)-coordinates of all points where \( f(x) = 2 \)?

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