
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 $x_{1}$, $x_{2}$, $x_{3}$, $\ldots x_{20}$ with a variance of $7$, then the variance of $x_{1}-1$, $x_{2}-1$, $\ldots $, $x_{20}-1$ is ______.

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