
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 line segments forming the complete graph of \(y = g(x)\) are given as follows: \((-5, -3) \rightarrow (-3, 1)\), \((-3, 1) \rightarrow (-1, -1)\), \((-1, -1) \rightarrow (2, 4)\), \((2, 4) \rightarrow (3, 3)\), and \((3, 3) \rightarrow (5, 7)\). What is the sum of the \(x\)-coordinates of all points where \(g(x) = x + 2\)?

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