
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 $y=f(x)$, represented by connected line segments between points (-4, -5), (-2, -1), (-1, -2), (1, 2), (2, 1), and (4, 5). Calculate the sum of the $x$-coordinates of all points where $f(x) = x + 2$.

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