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To find the expression equivalent to \(5(3x + 9)\), we need to distribute the \(5\) across both terms inside the parentheses:
\[
5(3x + 9) = 5 \cdot 3x + 5 \cdot 9
\]
Calculating each part, we have:
\[
5 \cdot 3x = 15x
\]
\[
5 \cdot 9 = 45
\]
Now, combine the two results:
\[
5(3x + 9) = 15x + 45
\]
Thus, the equivalent expression is:
\[
\text{c) } 15x + 45
\]