
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 bookstore in a local mall is offering discounts on days of the month that are multiples of 7 (such as July 7, July 14...) during a special summer sale event. Nearby, a shoe store has a regular sale every 6 days, starting from July 2. Determine the number of days in July when both stores offer sales on the same day.

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