
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 first workshop, there are $x$ people. The second workshop has 20 fewer people than $\frac{3}{4}$ of the number of people in the first workshop. If 15 people are transferred from the second workshop to the first workshop, find: (1) the total number of people in both workshops (expressed in terms of $x$), and (2) how many more people are in the first workshop compared to the second workshop after the transfer (expressed in terms of $x$).

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