
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
A 44-gon \( Q_1 \) is drawn in the Cartesian plane. The sum of the \( x \)-coordinates of the 44 vertices equals 176. The midpoints of the sides of \( Q_1 \) form a second 44-gon, \( Q_2 \). Finally, the midpoints of the sides of \( Q_2 \) form a third 44-gon, \( Q_3 \). Find the sum of the \( x \)-coordinates of the vertices of \( Q_3 \).

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