
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
Given the distribution table of the random variable $X$ as shown below, find $E\left(5X+4\right)=\_\_\_\_\_\_.$

| $X$ | $0$ | $2$ | $4$ |
|-----|-----|-----|-----|
| $P$ | $0.3$ | $a$ | $0.5$ |

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