Step 1 :First, substitute \(-2\) for \(x\) in the expression, which gives: \(2(-2)^3 - 5(-2)^2 + 3(-2) - 7\)
Step 2 :Then, simplify the exponents: \(-16 - 20 - 6 - 7\)
Step 3 :Finally, perform the addition and subtraction from left to right: \(-16 - 20 - 6 - 7 = -49\)