
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
For two distinct rational numbers $a$ and $b$, we define the symbol $\min \{a,b\}$ to represent the smaller of the two numbers $a$ and $b$. For example, $\min \{2,-4\}=-4$. Then the solution to the equation $\min \{x,-x\}=3x+4$ is ______.

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