
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 $y=g(x)$ consists of five line segments, presented in blue below. The graph is composed as follows: segment one from (-5, -8) to (-3, -2), segment two from (-3, -2) to (-1, -3), segment three from (-1, -3) to (1, 3), segment four from (1, 3) to (3, 2), and segment five from (3, 2) to (6, 8). Determine the sum of the $x$-coordinates of all points where $g(x) = 2.5$.

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