Sure, let's break this down step by step.
1. Given the expression:
[tex]\[
3(2x - 57)
\][/tex]
2. Distribute the 3 to both terms inside the parentheses:
[tex]\[
3 \cdot (2x) + 3 \cdot (-57)
\][/tex]
3. Calculate the individual products:
[tex]\[
3 \cdot 2x = 6x
\][/tex]
[tex]\[
3 \cdot (-57) = -171
\][/tex]
4. Combine these results to form the simplified expression:
[tex]\[
6x - 171
\][/tex]
So, the simplified form of the expression [tex]\(3(2x - 57)\)[/tex] is:
[tex]\[
6x - 171
\][/tex]
