
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 that the function $y=f(2x+2)-1$ is an odd function defined on $\mathbb{R}$, and the graph of the function $y=g(x)$ is symmetric to the graph of the function $y=f(x)$ about the line $x-y=0$. If $x_1+x_2=2$, then $g(x_1)+g(x_2)=$

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