
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
If $\frac{xy}{x+y} = 4$, $\frac{xz}{x+z} = 5$, and $\frac{yz}{y+z} = 6$, find the value of $x$.
A) $\frac{45}{9}$
B) $\frac{40}{8}$
C) $\frac{40}{9}$
D) $\frac{35}{9}$
E) $\frac{30}{9}$

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