
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
Assuming $xy = k(x+y)$, $xz = l(x+z)$, $yz = m(y+z)$ where $k, l, m$ are constants, determine the value of $x$ in terms of $k$, $l$, and $m$.
A) $\frac{k+l+m}{klm}$
B) $\frac{2klm}{kl + km - lm}$
C) $\frac{klm}{kl + km + lm}$
D) $\frac{km + lm - kl}{2}$

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