Let's solve the equation:

\[
-4x + 9 + 5x = 13
\]

### Step 1: Combine like terms
Combine the terms with \(x\) on the left side:

\[
(-4x + 5x) + 9 = 13
\]
\[
x + 9 = 13
\]

### Step 2: Isolate the variable \(x\)
Subtract 9 from both sides:

\[
x = 13 - 9
\]
\[
x = 4
\]

Thus, the solution is:

\[
x = 4
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. Solve: \(3x - 7 + 2x = 18\)
2. Solve: \(6x - 4 + x = 10\)
3. Solve: \(2x + 5 - x = 8\)
4. Solve: \(-3x + 12 + 5x = 20\)
5. Solve: \(-7x + 10x + 6 = 15\)

**Tip:** Always combine like terms before isolating the variable for a cleaner solution process.

Learn how to solve the linear equation -4x + 9 + 5x = 13 using step-by-step methods, including combining like terms and isolating the variable. This problem is ideal for students in Grades 6-8 and covers key algebra concepts for mastering linear equations.

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