To solve this equation, we need to isolate the variable x on one side of the equation.

7x + 535 = 5x(335) + 2

First, distribute 5x to 335:

7x + 535 = 1675x + 2

Now, subtract 1675x from both sides to get x on one side:

7x - 1675x + 535 = 2

Combine like terms:

-1668x + 535 = 2

Next, subtract 535 from both sides:

-1668x = -533

Finally, divide by -1668 to solve for x:

x = -533 / -1668
x = 0.3195

Therefore, the solution to the equation is x = 0.3195.