Let's solve the equation:

\[
-4x - 7 - 3x + 4 = 25
\]

### Step 1: Combine like terms
The terms involving \(x\) are \(-4x\) and \(-3x\), and the constant terms are \(-7\) and \(+4\).

\[
(-4x - 3x) + (-7 + 4) = 25
\]

This simplifies to:

\[
-7x - 3 = 25
\]

### Step 2: Isolate the variable
Add 3 to both sides to move the constant to the right-hand side:

\[
-7x = 25 + 3
\]

\[
-7x = 28
\]

### Step 3: Solve for \(x\)
Divide both sides by \(-7\):

\[
x = \frac{28}{-7}
\]

\[
x = -4
\]

The solution is \(x = -4\).

Would you like more details on this solution or any clarifications?

### Related Questions:
1. How do you solve equations with variables on both sides?
2. How would you solve an equation if it had fractions instead of integers?
3. What happens when the equation has no solution or infinite solutions?
4. How do you solve inequalities that resemble this equation?
5. Can this method be applied to systems of equations?

**Tip:** Always combine like terms as the first step to simplify equations!

Learn how to solve the linear equation -4x - 7 - 3x + 4 = 25 step by step. This problem covers key algebraic concepts like combining like terms and isolating variables. Ideal for students in Grades 7-9 looking to strengthen their algebra skills.

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