Select all of the steps that are possible when solving for x.

512x+23x=37
	x = 37
	x = 6
	37x = 6
	376x=37
	112x+23x=37

Let's break down the equation step by step to identify the valid possibilities.

Given equation:
\[
512x + 23x = 37
\]

### Step 1: Combine like terms
\[
512x + 23x = (512 + 23)x = 535x
\]
Now, the equation becomes:
\[
535x = 37
\]
So, "535x = 37" is possible.

### Step 2: Solve for \( x \)
To solve for \( x \), divide both sides by 535:
\[
x = \frac{37}{535}
\]
So, "x = \frac{37}{535}" is the correct result (approximately \( x = 0.0692 \)).

### Now, let's evaluate the options provided:
1. **x = 37**: Incorrect. This does not match the result of the equation.
2. **x = 6**: Incorrect. The solution for \( x \) is approximately 0.0692, not 6.
3. **37x = 6**: Incorrect. This doesn't follow from the given equation or any step.
4. **376x = 37**: Incorrect. The combined coefficient of \( x \) is 535, not 376.
5. **535x = 37**: Correct! This step matches our simplified equation.

So, the only valid step is:
- **535x = 37**

Would you like more details on any part of this solution?

### Related Questions:
1. How do you combine like terms in an equation?
2. What are the steps to isolate \( x \) in a linear equation?
3. Can you explain how to simplify terms involving variables?
4. What is the process to solve for \( x \) in a simple algebraic equation?
5. How do you check if a solution to an equation is correct?

### Tip:
Always combine like terms first before isolating the variable when solving linear equations.

Select all of the steps that are possible when solving for x.
512x + 23x = 37
x = 37
x = 6
37x = 6
376x=37
112x+23x=37

Learn how to solve the linear equation 512x + 23x = 37 by combining like terms and isolating the variable. This guide walks through the algebraic steps and explains why x ≠ 37 or 6, with a focus on simplifying terms. Suitable for Grade 7-8 students.

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