To simplify the expression \( 4x + 8x \), you need to combine like terms.
The terms \( 4x \) and \( 8x \) are both like terms (they have the same variable \( x \)).
When you combine them, you add the coefficients (the numbers in front):
\[ 4x + 8x = (4 + 8)x = 12x \]
So, the correct response is:
12x