
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
In the year 1275, the Chinese mathematician Yang Hui of the Southern Song Dynasty posed the following problem: a rectangular field measures 650 paces in area, with the width being 1 pace less than the length. The question is, what are the width and length of the field? If we let the length be $x$ paces, then the equation based on the problem can be written as ______.

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