
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 group of people had lunch together and the bill came to 175 shillings. It turned out that two of them did not have any money with them, so each of the remaining people had to pay 10 shillings more than their share. How many people had lunch?

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