1. The problem is to simplify the expression $2\sqrt{x} \times 8 \times \sqrt{x} \times 2$. 2. First, rewrite the expression grouping coefficients and square root terms: $2 \times 8 \times 2 \times \sqrt{x} \times \sqrt{x}$. 3. Multiply the coefficients: $2 \times 8 = 16$, then $16 \times 2 = 32$. 4. Multiply the square roots: $\sqrt{x} \times \sqrt{x} = \sqrt{x \times x} = \sqrt{x^2}$. 5. Since $\sqrt{x^2} = |x|$, the simplified form is $32 |x|$. 6. Final answer: $$32 |x|$$