
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
Three machines P, Q, and R working together can complete a task in x hours. If machine P works alone, it requires 6 additional hours to complete the task, machine Q needs 1 additional hour, and machine R requires x additional hours. Find the value of x.

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