
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
City $A$ and city $B$ are both major producers of oranges. During the National Day holiday, city $A$ has 240 tons of oranges, and city $B$ has 260 tons of oranges. Now all these oranges are to be transported to markets $C$ and $D$. Market $C$ requires 200 tons, and market $D$ requires 300 tons. The transportation costs from city $A$ to markets $C$ and $D$ are $20$ yuan per ton and $30$ yuan per ton, respectively. The transportation costs from city $B$ to markets $C$ and $D$ are $24$ yuan per ton and $32$ yuan per ton, respectively. Let $x$ tons be the weight of oranges transported from city $A$ to market $C$.

$(1)$ Please express the following in terms of $x$:
① The weight of oranges transported from city $A$ to market $D$ is ______ tons;
② The weight of oranges transported from city $B$ to market $D$ is ______ tons;
$(2)$ Find the total cost of the entire transportation (express in terms of $x$).

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