
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
If $x, y, z$ satisfy the system of equations
\begin{align*}
y + z &= 17 - 2x \\
x + z &= 1 - 2y \\
x + y &= 8 - 2z,
\end{align*}
what is $x + y + z$?

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