
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 three numbers $x_1$, $x_2$, $x_3$ is $\bar{x} = 40$, and the square of the standard deviation is 1, then the average and variance of the sample $x_1 + \bar{x}$, $x_2 + \bar{x}$, $x_3 + \bar{x}$ are \_\_\_\_\_\_ and \_\_\_\_\_\_, respectively.

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