Let's solve the equation:

\[
13(x + 5) = 91
\]

### Step 1: Expand the equation
Distribute the \(13\) across the terms inside the parentheses:

\[
13x + 65 = 91
\]

### Step 2: Isolate the variable
To solve for \(x\), subtract \(65\) from both sides of the equation:

\[
13x = 91 - 65
\]

\[
13x = 26
\]

### Step 3: Solve for \(x\)
Now, divide both sides by \(13\):

\[
x = \frac{26}{13} = 2
\]

Thus, the solution is:

\[
x = 2
\]

Would you like further details on any step or have any questions?

Here are 5 related questions:
1. What if the equation was \(13(x + 7) = 91\)?
2. How do you solve \(13x + 15 = 91\)?
3. What if you had to solve \(13(x + 5) = 0\)?
4. How does the distributive property work in equations like this?
5. What happens if the equation was \(13(x + 5) = 130\)?

**Tip:** Always simplify the equation step-by-step, making sure to isolate the variable gradually.

Learn how to solve the linear equation 13(x + 5) = 91 with a detailed step-by-step solution. This problem involves key algebraic concepts like linear equations and the distributive property, suitable for students in Grades 6-8.

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