1. State the problem: Solve for $x$ in the equation $$\frac{3}{3}x = \frac{24}{12} x \times \frac{16}{4}.$$\n\n2. Simplify each fraction:\n- $\frac{3}{3} = 1$\n- $\frac{24}{12} = 2$\n- $\frac{16}{4} = 4$\n\n3. Substitute simplified fractions into the equation:\n$$1 \times x = 2 \times x \times 4.$$\n\n4. Simplify the right side:\n$$x = 8x.$$\n\n5. Rearrange to isolate $x$:\n$$x - 8x = 0 \implies -7x = 0.$$\n\n6. Divide both sides by $-7$:\n$$x = 0.$$\n\nFinal answer: $x = 0$.