To simplify the expression 3×3/5x + 4×10/21 + 1×1/2x + 2×1/3, we first need to perform the multiplications and additions according to the order of operations:

3×3/5x = 9/5x
4×10/21 = 40/21
1×1/2x = 1/2x
2×1/3 = 2/3

Now we can combine the terms:

9/5x + 40/21 + 1/2x + 2/3

To combine the x terms, we need a common denominator, which in this case is 10. So we rewrite the x terms:

9/5 2/2x + 1/2 10/10x = 18/10x + 10/10x = 28/10x

Now we can add all the terms together:

28/10x + 40/21 + 2/3

To add the fractions, we need to find a common denominator, which in this case is 210. So we rewrite the fractions:

28/10 21/21 + 40/21 10/10 + 2/3 * 70/70 = 588/210 + 400/210 + 140/210 = 1128/210

Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 6:

1128 ÷ 6 = 188
210 ÷ 6 = 35

So, the simplified expression is:

188/35