
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
Let $M$, $N$, and $P$ be constants such that the equation 
\[
\frac{(x+M)(2x + 40)}{(x+P)(x+10)} = 3
\]
has infinitely many solutions for $x.$ For these values of $M$, $N$, and $P$, determine all values of $x$ which are not solutions to the equation, and find their sum.

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