Evaluate the expression \(5x^2 - 3x + 7\) when \(x = -2\).

Step 1 ：Substitute -2 for x in the expression: \(5(-2)^2 - 3(-2) + 7\)

Step 2 ：Simplify the expression: \(5(4) + 6 + 7\)

Step 3 ：Carry out the multiplication and addition: \(20 + 6 + 7\)

Step 4 ：Add the numbers: \(33\)