
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
Alec needs to buy 20 identical shirts with a budget of $\$200$. He faces a $\$5$ entrance fee to shop at a discount store. Each shirt's price has a 7% sales tax. What is the greatest possible price per shirt that Alec can afford, given these conditions?

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