
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 the function $f(x)= \begin{cases} ax+2-3a, & x < 0\\ 2^{x}-1, & x\geq 0\end{cases}$. If there exist $x_{1}$, $x_{2} \in \mathbb{R}$, $x_{1} \neq x_{2}$, such that $f(x_{1})=f(x_{2})$, then the range of values for the real number $a$ is ________.

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