https://file.aiquickdraw.com/mathbot/file/17260190304281ilsitwr.jpg

In the image, the balance scale represents an equation. Let's break down the model and translate it into a mathematical equation:

### Left Side of the Scale:
- There are **2 blocks labeled "x"** and **3 single units** (which represent +3).

### Right Side of the Scale:
- There is **1 block labeled "x"** and **3 single units** (which represent +3).

### Equation Setup:
Based on the balance scale, the total weight on both sides must be equal, so the equation represented by this model can be written as:

\[
2x + 3 = 1x + 3
\]

### Simplifying the Equation:
We can simplify this equation by subtracting \(x\) and 3 from both sides:

\[
2x + 3 = x + 3
\]

1. Subtract 3 from both sides:
   \[
   2x = x
   \]

2. Subtract \(x\) from both sides:
   \[
   x = 0
   \]

### Conclusion:
The value of \(x\) is **0**. Therefore, the correct answer to Part 2 is **D: \(x = 0\)**.

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Would you like further clarification on this solution or any other details?

Here are 5 related questions to deepen your understanding:
1. What happens if we change the number of single units on either side?
2. How would the equation change if there were 3 blocks of \(x\) on the right side?
3. Can you solve the equation by adding different values of \(x\) first?
4. What type of equations can be represented using this balance model?
5. How does subtracting or adding equal values to both sides affect the balance?

**Tip:** Always isolate the variable step by step to simplify solving the equation.

In the image, the balance scale represents an equation. Write the correct equation represented by the model, and find the value of x.

Learn how to solve linear equations using a balance model, such as 2x + 3 = x + 3. This problem explains key algebraic concepts and how to simplify linear equations step-by-step. Suitable for students in Grades 6-8.

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