
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
Given a graph of a piecewise linear function $y = f(x)$, represented by five line segments, and defined such that the endpoints and slopes of segments are visible on a grid with unit distance between lines (from the previous problem details). Determine the sum of the $x$-coordinates of all points where $f(x) = 2$.

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