
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
Given the factory plans to produce 1000 sets of protective clothing and they produce 20% more each day than planned, and complete the task 2 days ahead of the original plan, determine the equation that represents the relationship between the original number of sets of protective clothing produced per day, x, and the number of days the task was completed in.

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