
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
Alice needs to buy 20 identical books and has a budget of $\$180$. There is a $\$3$ entrance fee for the bookstore. Each book has the same cost in whole dollars. Additionally, a $7\%$ sales tax is applied to the price of each book. What is the highest possible price per book that Alice can afford?

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