Let's simplify the equation step by step:

-5 * 6(x-3) + 21x = 35x + 10

-30(x-3) + 21x = 35x + 10

-30x + 90 + 21x = 35x + 10

-9x + 90 = 35x + 10

-9x - 35x = 10 - 90

-44x = -80

Dividing by -44:

x = 80 / 44

x = 10/11

Therefore, the solution to the equation is x = 10/11.