
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 a line $l$ passes through the point $(0,5)$, and the sum of its intercepts on the two coordinate axes is 2.
(1) Find the equation of line $l$;
(2) If line $l_1$ passes through the point $\left(\frac{8}{3}, -1\right)$ and is perpendicular to line $l$, and line $l_2$ is symmetric to line $l_1$ with respect to the x-axis, find the equation of line $l_2$.

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