1. Stating the problem: Simplify the expression $9\sqrt{x}2 + 6\sqrt{x}2$. 2. Understand the terms: Here, $\sqrt{x}2$ means $2\sqrt{x}$ (the constant 2 multiplied by the square root of $x$). 3. Rewrite the expression clearly: $$9 \times 2 \sqrt{x} + 6 \times 2 \sqrt{x} = 18\sqrt{x} + 12\sqrt{x}$$ 4. Combine like terms (both terms have $\sqrt{x}$): $$18\sqrt{x} + 12\sqrt{x} = (18 + 12)\sqrt{x} = 30\sqrt{x}$$ 5. Final answer: $$30\sqrt{x}$$ This means the simplified form of the original expression is $30\sqrt{x}$.