
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 factory reorganizes its employees from workshops one and two. Half of the employees from workshop one and one-third of the employees from workshop two form the manufacturing workshop. One-third of the employees from workshop one and half of the employees from workshop two form the processing workshop. The remaining 120 employees from the two original workshops form the assembly workshop. Currently, there are \(\frac{1}{7}\) more employees in the manufacturing workshop than in the processing workshop. Determine the number of employees originally in workshop one and workshop two.

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