To simplify the algebraic expression \(7x - 5(x + 6)\), follow these steps:
1. Distribute the \(-5\) inside the parentheses:
[tex]\[
-5 \cdot (x + 6) = -5x - 30
\][/tex]
Therefore, the expression \(7x - 5(x + 6)\) becomes:
[tex]\[
7x - 5x - 30
\][/tex]
2. Combine like terms:
[tex]\[
7x - 5x = 2x
\][/tex]
So, the expression now is:
[tex]\[
2x - 30
\][/tex]
Hence, the completely simplified expression is \(2x - 30\).
Thus, the correct answer is:
[tex]\[
\boxed{2x - 30}
\][/tex]
