
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
Let a $44$-gon named $Q_1$ be placed in the Cartesian plane where the sum of the $x$-coordinates of its vertices is $132$. Using the same steps of finding the midpoints to form $Q_2$ from $Q_1$, and $Q_3$ from $Q_2$, calculate the sum of the $x$-coordinates of the vertices of $Q_3$.

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