Let's solve the given expression by distributing and simplifying it.

The expression is:

$-8(x - 8) + 4$

Step 1: Distribute the $-8$ to both terms inside the parentheses.

$-8(x - 8) = -8 \times x + (-8) \times (-8)$ $= -8x + 64$

Step 2: Add the constant $4$ to the result.

$-8x + 64 + 4$

Step 3: Combine like terms.

$-8x + 68$

So, the simplified expression is:

$-8x + 68$

Would you like further details or have any questions?

Related Questions:

1. How do you distribute a negative number across a binomial?
2. Can you explain how to combine like terms?
3. What is the difference between distributing and factoring?
4. How would you handle the expression if the addition were subtraction?
5. How does the distributive property relate to real-world scenarios?

Tip:

When distributing a negative number, be careful with signs to avoid mistakes. The negative sign must be applied to each term inside the parentheses.