
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
There are three electric generators with their powers \(x_{1}, x_{2}, x_{3}\) being less than 1 MW. In analyzing the energy system with these generators, it was found that in order for a certain process to take place, the following condition must be met:

$$
2\left( x_{1}+x_{2}+x_{3} \right)+4 x_{1} x_{2} x_{3} = 3\left( x_{1} x_{2}+x_{1} x_{3}+x_{2} x_{3} \right)+1
$$

What is the maximum combined power of all three generators when this condition is satisfied?

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