1. The problem is to simplify the expression $\sqrt{x}32 - \sqrt{x}50$ in terms of surds. 2. First, recognize that $\sqrt{x}32$ and $\sqrt{x}50$ should be written as $32\sqrt{x}$ and $50\sqrt{x}$ because the square root symbol applies only to $x$ based on standard notation. 3. The expression becomes $32 \sqrt{x} - 50 \sqrt{x}$. 4. Both terms are like terms since they have the common factor $\sqrt{x}$. 5. Combine the coefficients: $32 - 50 = -18$. 6. Hence, the simplified expression is $-18 \sqrt{x}$. 7. Therefore, $\sqrt{x}32 - \sqrt{x}50 = -18 \sqrt{x}$.