
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 city's population increased by $2,000$ people, and then this new population decreased by $15\%$. After all these changes, the city now has $50$ more people than it did before the $2,000$ increase. What is the city's original population?

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