Step 1 :Substitute \(x = -2\) into the function \(f(x) = -5x + 2\).
Step 2 :So, \(f(-2) = -5(-2) + 2\).
Step 3 :This simplifies to \(f(-2) = 10 + 2\).
Step 4 :Therefore, \(\boxed{f(-2) = 12}\).