Step 1 :The given expression is \(2(3x - 7)\).
Step 2 :To simplify this, we need to distribute the 2 across the terms inside the parentheses. This means we multiply 2 by each term inside the parentheses.
Step 3 :Doing this gives us \(6x - 14\).
Step 4 :So, the simplified form of the algebraic expression is \(\boxed{6x - 14}\).