
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 a set of data $3x_{1}+7$, $3x_{2}+7$, $\ldots$, $3x_{n}+7$ with an average of $22$ and a variance of $36$, find the average and variance of the data $x_{1}$, $x_{2}$, $\ldots$, $x_{n}$.

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