To find an equivalent expression for \( 6(7x - 4) \), you need to distribute the \( 6 \) across the terms inside the parentheses:
\[ 6(7x - 4) = 6 \cdot 7x - 6 \cdot 4 \]
Calculating each term gives:
\[ 6 \cdot 7x = 42x \] \[ 6 \cdot 4 = 24 \]
Putting it all together, we have:
\[ 6(7x - 4) = 42x - 24 \]
Now, let's match this result with the provided options:
A. \( 13x - 10 \)
B. \( 13x - 24 \)
C. \( 42x - 10 \)
D. \( 42x - 24 \)
The correct equivalent expression is:
D. \( 42x - 24 \).