
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
Five friends originally planned to share a hotel room, splitting the cost equally among them. If two additional friends join them at the last minute and the cost is redistributed evenly among all seven friends, the cost for each of the original five decreases by $\$15$. What was the total cost of the hotel room?

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