Decide Whether the Equation Is an Identity, a Conditional Equation $$4 x + 9 ( x + 1 ) + 2 = 11 - 6 x$$

Multiple Choice

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
- $$4 x + 9 ( x + 1 ) + 2 = 11 - 6 x$$

A) Conditional; $\{ 0 \}$
B) Conditional; $\{ 1 \}$
C) Identity; {all real numbers $\}$
D) Contradiction; $\varnothing$