
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 $y=g(x)$, consisting of four line segments, is shown in blue. The graph changes direction at the points $(-3, -4)$, $(-1, 0)$, $(2, -1)$, and $(3, 3)$. What is the sum of the $x$-coordinates of all points where $g(x) = x - 1$?

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