
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
Given the functions f(x) = 3^x and g(x) = 9^x,
1. Solve the equation: g(x) - 8f(x) - g(1) = 0;
2. Let $h(x) = \frac{f(x)}{f(x) + \sqrt{3}}$, find the value of $h(\frac{1}{2019}) + h(\frac{2}{2019}) + h(\frac{3}{2019}) + ... + h(\frac{2018}{2019})$.

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