
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 average of the data $x\_1$, $x\_2$, ..., $x\_n$ is $5$, and the variance is $2$. Let the average of the data $7x\_1-2$, $7x\_2-2$, $7x\_3-2$, ..., $7x\_n-2$ be $\bar{x}$, and the variance be $S^2$. Then, $\bar{x}+S^2=$ \_\_\_\_\_\_.

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