1. The problem is to simplify the expression involving multiplication of fractions and a variable: $$x \times \frac{3}{4} \times \frac{2}{3} \times \frac{3}{7} \times \frac{1}{5}$$. 2. The formula for multiplying fractions and variables is to multiply all numerators together and all denominators together, then simplify. 3. Multiply the numerators: $$x \times 3 \times 2 \times 3 \times 1 = 18x$$. 4. Multiply the denominators: $$4 \times 3 \times 7 \times 5 = 420$$. 5. So the expression becomes $$\frac{18x}{420}$$. 6. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD). The GCD of 18 and 420 is 6. 7. Show cancellation: $$\frac{\cancel{18}x}{\cancel{420}} = \frac{3x}{70}$$ 8. Therefore, the simplified expression is $$\frac{3x}{70}$$. This means the product of all those terms simplifies neatly to $$\frac{3x}{70}$$.