1. **State the problem:** Simplify the expression $4x - x + 2 - 3$. 2. **Combine like terms:** The terms with $x$ are $4x$ and $-x$. The constant terms are $2$ and $-3$. 3. **Simplify the $x$ terms:** $$4x - x = \cancel{4x} - \cancel{x} = 3x$$ 4. **Simplify the constants:** $$2 - 3 = -1$$ 5. **Write the simplified expression:** $$3x - 1$$ 6. **Explanation:** We combined the coefficients of $x$ by subtracting $1$ from $4$, and combined the constants by subtracting $3$ from $2$. This is a basic algebraic simplification by combining like terms.