1. **State the problem:** Simplify or analyze the expression $2x + 1$. 2. **Understand the expression:** This is a linear expression in terms of $x$. 3. **No further simplification is possible** since $2x + 1$ is already in simplest form. 4. **If solving for $x$ given an equation,** you would set $2x + 1 = 0$ and solve for $x$: $$2x + 1 = 0$$ 5. **Subtract 1 from both sides:** $$2x + \cancel{1} - \cancel{1} = 0 - 1$$ $$2x = -1$$ 6. **Divide both sides by 2:** $$\frac{2x}{\cancel{2}} = \frac{-1}{\cancel{2}}$$ $$x = -\frac{1}{2}$$ **Final answer:** The expression $2x + 1$ is linear and its root is $x = -\frac{1}{2}$ if set equal to zero.