
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
Taxi driver Lao Yang was picking up and dropping off passengers near Kunming Third Middle School one morning. If it is defined that east is positive and west is negative. His morning driving distances (unit: $km$) are as follows: $+5$, $-3$, $+6$, $-7$, $+6$, $-2$, $-5$, $-4$, $+6$, $-8$.
$(1)$ When Lao Yang drops off the last passenger at the destination, how far is he from the starting point in the morning? Is he to the east or west of the starting point?
$(2)$ When Lao Yang drops off which passenger, does he return to the starting point in the morning?
$(3)$ If the taxi fare is as follows: starting price of $8$ yuan (for distances not exceeding $3$ kilometers), for distances exceeding $3$ kilometers, an additional $1.5$ yuan per kilometer. The driver receives ______ yuan from the last passenger; if a passenger travels $x$ kilometers in a taxi ($x \gt 3$ and $x$ is an integer), the cost would be ______ yuan. (Express the result in algebraic form)

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