
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
In the polar coordinate system, the equation of circle C is $\rho = 4\cos\theta$. Establish a Cartesian coordinate system with the pole as the origin and the polar axis as the positive x-axis. The parametric equation of line $l$ is $$\begin{cases} x=3t+3 \\ y=4t+3\end{cases}$$ (where $t$ is the parameter).

(1) Write the Cartesian equation of circle C and the general equation of line $l$;
(2) Find the length of the chord intersected by line $l$ on circle C.

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