
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 $\frac{a}{10^x-3}+\frac{b}{10^x+4}=\frac{3 \cdot 10^x+4}{(10^x-3)(10^x+4)}$ is an identity for positive rational values of $x$, then find the value of $a+b$.
A) 2
B) $\frac{8}{7}$
C) 3
D) $-\frac{4}{7}$
E) $\frac{29}{7}$

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