Let's solve the expression $3 - 8(7 - 5x)$.

Step 1: Distribute the $-8$ across the parentheses.

$3 - 8(7 - 5x) = 3 - 8 \cdot 7 + 8 \cdot 5x$ This gives us: $3 - 56 + 40x$

Step 2: Combine the constant terms.

$3 - 56 = -53$ So the expression becomes: $-53 + 40x$

Final Answer:

$-53 + 40x$

Let me know if you need further clarification or if you'd like to explore this further!

Here are five related questions you might find interesting:

1. How do you solve for $x$ if the expression is set equal to 0, i.e., $-53 + 40x = 0$?
2. How do you factor a quadratic expression like $40x^2 - 53$?
3. What is the significance of distributing a constant in an expression?
4. How do you simplify expressions involving exponents or roots?
5. How can you solve for $x$ when it appears inside multiple parentheses?

Tip: Always remember to distribute constants and simplify constants separately to avoid confusion later in your calculations!