
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 $a$ and $b$ are opposite numbers ($a$ and $b$ are both non-zero), $c$ is the largest negative integer, and $x$ is a number whose square is equal to $4$, find the following:<br/>$(1)$ The value of $c$ is ______, the value of $x$ is ______;<br/>$(2)$ Find the value of the algebraic expression $x+\frac{a}{b}+2c-\frac{a+b}{π}$.

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