
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
Consider the graph of the function $y=f(x)$, defined piecewise through several line segments as follows:

- From $x = -4$ to $x = -2$, the line segment follows $y = 2x + 3$.
- From $x = -2$ to $x = -1$, the line segment follows $y = -2x - 3$.
- From $x = -1$ to $x = 1$, the line segment follows $y = -2x + 1$.
- From $x = 1$ to $x = 2$, the line segment follows $y = 2x - 1$.
- From $x = 2$ to $x = 4$, the line segment follows $y = 2x - 3$.

Find the sum of $x$-coordinates where $f(x) = 2.5$.

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