
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
Line $l$ in the coordinate plane has the equation $3x - 5y + 40 = 0$. This line is rotated $30^{\circ}$ counterclockwise about the point $(0,0)$ to obtain line $k'$. What is the $x$-coordinate of the $x$-intercept of line $k'$?
A) -5
B) 0
C) 5
D) 15
E) 20

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