Let's solve the equation:

Given:
\[
4 + 35 = 24 + 2x - 8
\]

### Step 1: Simplify both sides of the equation.
First, simplify the left-hand side:
\[
4 + 35 = 39
\]
Now simplify the right-hand side:
\[
24 - 8 = 16
\]
So, the equation becomes:
\[
39 = 16 + 2x
\]

### Step 2: Isolate the variable.
Subtract 16 from both sides:
\[
39 - 16 = 2x
\]
\[
23 = 2x
\]

### Step 3: Solve for \( x \).
Now divide both sides by 2:
\[
x = \frac{23}{2}
\]
\[
x = 11.5
\]

So, the solution is:
\[
x = 11.5
\]

Do you need more details on any step or have any questions?

### Related Questions:
1. How do you solve equations with fractions?
2. What happens when you have variables on both sides of the equation?
3. Can you explain how to solve quadratic equations?
4. How do you solve inequalities with variables?
5. How do you check if your solution is correct?

### Tip:
Always simplify the equation step-by-step to avoid errors when solving.

Learn how to solve the linear equation 4 + 35 = 24 + 2x - 8 using simplification and isolation of variables. This step-by-step solution covers basic algebra concepts, making it suitable for students in Grades 6-8.

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