Let's simplify the given expression:

$-7(4x - 2) + 7x$

Step 1: Distribute $-7$ across $(4x - 2)$: $-7 \times 4x + (-7) \times (-2) + 7x$ $= -28x + 14 + 7x$

Step 2: Combine like terms: $-28x + 7x + 14$ $= -21x + 14$

So the simplified expression is:

$-21x + 14$

Would you like any further explanation or details? Here are some related questions for your practice:

1. How do you distribute a negative number over parentheses in an expression?
2. What happens when you combine terms with the same variable?
3. How do you simplify expressions with multiple terms?
4. What is the importance of combining like terms in algebra?
5. How would you handle a similar expression with a positive coefficient instead of a negative one?

Tip: When distributing, always multiply the number outside the parentheses with both terms inside the parentheses to avoid errors!