Let's solve the equation step by step:

Given equation:  
\[
-5(4x + 11) - 5 = 50
\]

### Step 1: Distribute \(-5\) across the parentheses.
\[
-5 \cdot 4x = -20x
\]
\[
-5 \cdot 11 = -55
\]
So, the equation becomes:
\[
-20x - 55 - 5 = 50
\]

### Step 2: Combine like terms on the left side.
\[
-20x - 60 = 50
\]

### Step 3: Add 60 to both sides to isolate the term with \(x\).
\[
-20x = 50 + 60
\]
\[
-20x = 110
\]

### Step 4: Divide both sides by \(-20\) to solve for \(x\).
\[
x = \frac{110}{-20}
\]
\[
x = -\frac{11}{2}
\]
\[
x = -5.5
\]

So, the solution is:
\[
x = -5.5
\]

Would you like a deeper explanation or have any questions?

### Related questions:
1. What happens if the equation had positive terms instead of negative?
2. Can we solve the same equation by factoring?
3. How do you verify the solution is correct?
4. What if the constant on the right was negative instead?
5. How does distributing affect the equation in general?

### Tip:
Always check your solution by plugging the value of \(x\) back into the original equation to verify.

Learn how to solve the linear equation -5(4x + 11) - 5 = 50 step-by-step. This problem covers key algebraic concepts, including the distributive property and combining like terms. Suitable for students in Grades 7-9.

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