
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
There are 54 people on the upper playground and 48 people on the lower playground. After transferring $x$ people from the lower playground to the upper playground, the number of people on the upper playground is exactly twice the number of people on the lower playground. Formulate the corresponding equation.

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