The given question is indeed nonsensical and contains mathematical errors, including division by zero. Below is a revised version that makes sense and adheres to correct formatting and logical consistency:

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Simplify the following expressions:

1. [tex]\(\frac{-x}{x}\)[/tex]
2. [tex]\(\frac{x}{x-x}\)[/tex]
3. [tex]\(\frac{192}{x \cdot x}\)[/tex]
4. [tex]\(\frac{216}{0}\)[/tex]
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Please note that some expressions, such as division by zero, are undefined in mathematics.



Answer :

Sure, let's break down the detailed steps for solving this problem. Given the initial conditions and information, you should perform the following steps:

1. You start with an initial number of computers, which is 9.

2. Each day, a certain number of computers is added to the server room. In this case, 5 computers are added per day.

3. You need to calculate the total number of computers added over a specific number of days, which in this problem is 4 days.

4. Finally, calculate the total number of computers in the server room after the given period.

Here's the step-by-step solution:

### Step-by-Step Solution:

Step 1: Identify the number of initial computers.
- Initial computers: 9

Step 2: Determine how many computers are added each day.
- Computers added per day: 5

Step 3: Calculate the total number of computers added over a given period.
- Number of days: 4
- Total computers added: [tex]\(5 \text{ computers/day} \times 4 \text{ days} = 20 \text{ computers}\)[/tex]

Step 4: Calculate the final number of computers in the server room.
- Add the initial number of computers to the total number of computers added.
- Total computers: [tex]\(9 \text{ initial computers} + 20 \text{ added computers} = 29 \text{ computers}\)[/tex]

### Final Answer:
- Total number of computers added: 20
- Total number of computers in the server room: 29

So, at the end of the 4-day period, there will be a total of 29 computers in the server room, with 20 additional computers added over the 4 days.