We can solve the equation:

\[
4x + 16x + 5 = 0
\]

### Step 1: Combine like terms
Add the terms involving \(x\):

\[
4x + 16x = 20x
\]

So the equation becomes:

\[
20x + 5 = 0
\]

### Step 2: Isolate \(x\)
Now subtract 5 from both sides to isolate the term with \(x\):

\[
20x = -5
\]

### Step 3: Solve for \(x\)
Finally, divide both sides by 20:

\[
x = \frac{-5}{20} = -\frac{1}{4}
\]

Thus, the solution is:

\[
x = -\frac{1}{4}
\]

Would you like a more detailed breakdown or have any questions?

Here are 5 related questions to expand on this:
1. How can you check if the solution \(x = -\frac{1}{4}\) is correct?
2. What are the steps to solve a general linear equation?
3. How would the equation change if there was a squared term?
4. How do you handle equations with fractions?
5. Can you apply this method to inequalities?

**Tip:** Always combine like terms before proceeding to solve equations—it simplifies the process!

Learn how to solve the linear equation 4x + 16x + 5 = 0 with a detailed step-by-step solution. This problem covers essential algebraic concepts, combining like terms and solving for x. Suitable for students in Grades 6-8.

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