
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 farmer needs to cultivate 36 mu of paddy fields and 30 mu of dry land. The average number of mu cultivated on dry land per day is 4 mu more than that on paddy fields. The time it takes to cultivate the dry land is half of the time it takes to cultivate the paddy fields. Find the average number of mu of paddy fields cultivated per day. If the average number of mu of paddy fields cultivated per day is $x$, solve for $x$.

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