
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 $x\_1$, $x\_2$, and $x\_3$ is $\overline{x} = 40$, find the average of the sample $x\_1 + \overline{x}$, $x\_2 + \overline{x}$, and $x\_3 + \overline{x}$.

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