
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
George needs 9 windows and Anne needs 11 windows. The store is offering 2 free windows for each purchase of 10. Let x be the number of purchases of 10 windows needed to receive 2 free windows, so 10x + 2 free windows will be purchased for (10x + 2) * 120 dollars. Total windows purchased would be 12x + 2 = 9 + 11. Find the number of x that satisfies 12x + 2 = 20.

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