https://file.aiquickdraw.com/mathbot/file/17216497807902dm80ka1.jpeg

To find \( x \) from the given expression, let's start by analyzing the equation in the image. The equation is:

\[ 48226.58 \left(1 - \frac{25}{x} \right) = 74078.7 \]

We'll solve this step by step.

1. **Expand the equation:**

   \[ 48226.58 - \frac{48226.58 \cdot 25}{x} = 74078.7 \]

2. **Isolate the term involving \( x \):**

   \[ 48226.58 - 74078.7 = \frac{48226.58 \cdot 25}{x} \]

3. **Calculate the left-hand side:**

   \[ 48226.58 - 74078.7 = -25852.12 \]

   So, we have:

   \[ -25852.12 = \frac{48226.58 \cdot 25}{x} \]

4. **Multiply both sides by \( x \) to solve for \( x \):**

   \[ -25852.12 \cdot x = 48226.58 \cdot 25 \]

5. **Calculate the right-hand side:**

   \[ 48226.58 \cdot 25 = 1205664.5 \]

   So, we have:

   \[ -25852.12 \cdot x = 1205664.5 \]

6. **Solve for \( x \):**

   \[ x = \frac{1205664.5}{-25852.12} \]

   \[ x = -46.65 \]

Therefore, the value of \( x \) is approximately \(-46.65\).

Would you like more details or have any questions?

Here are 5 questions you can ask:
1. Can you explain how to solve a different type of equation?
2. How do you solve quadratic equations?
3. What is the process for solving systems of linear equations?
4. Can you explain the steps to solve an inequality?
5. How do you find the derivative of a function?

**Tip:** Always double-check your calculations to ensure accuracy, especially in complex multi-step problems.

Learn how to solve the equation 48226.58(1 - 25/x) = 74078.7 step-by-step. This problem involves manipulating equations and solving fractional equations, suitable for advanced high school students.

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