
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
Let the function be defined as follows:
\[
f(x) = 
\begin{cases}
2x+1 & (x \geqslant 0) \\
2^{x} & (x < 0)
\end{cases}
\]
Given that $f[f(x)]=2$, find the value of $x$.

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