To solve this equation, we need to follow the order of operations (PEMDAS/BODMAS).

First, we need to simplify the multiplication:

3/5 x 6/7 = (3 x 6) / (5 x 7) = 18/35

Now, we can add the fractions:

1/2 + 18/35

To add fractions, we need to find a common denominator. The least common multiple of 2 and 35 is 70.

1/2 can be written as 35/70, and 18/35 can be written as 36/70.

Now, we can add the fractions:

35/70 + 36/70 = (35 + 36) / 70 = 71/70

Therefore, 1/2 + 3/5 x 6/7 = 71/70.