
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
If the point $(x, -6)$ lies on the straight line joining the points $(0,10)$ and $(-8,0)$ in the $xy$-plane, then $x$ is equal to
A) $\text{-}\frac{16}{5}$
B) $\text{-}\frac{32}{5}$
C) $\text{-}\frac{48}{5}$
D) $\text{-}\frac{64}{5}$
E) $\text{-}\frac{80}{5}$

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