
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 $f(x) = ax+b$, where $a$ and $b$ are real constants, and $\tilde{g}(x) = 3x - 6$. Suppose that for all $x$, it is true that $\tilde{g}(f(x)) = 4x + 7$. What is $a+b$?

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