To simplify the expression [tex]\( 4(2x - 8) \)[/tex], follow these steps:
1. Distribute the 4 to both terms inside the parentheses:
[tex]\[
4 \cdot (2x - 8) = 4 \cdot 2x - 4 \cdot 8
\][/tex]
2. Multiply the constants:
[tex]\[
4 \cdot 2x = 8x
\][/tex]
[tex]\[
4 \cdot 8 = 32
\][/tex]
3. Combine the results to form the simplified expression:
[tex]\[
8x - 32
\][/tex]
So, the expression [tex]\( 4(2x - 8) \)[/tex] simplifies to:
[tex]\[
8x - 32
\][/tex]