First, distribute the terms on both sides of the equation:

0.35(x) + 0.35(2) - 0.2(6x) + 0.2(3) = 0.3(4) - 0.3(3x)

0.35x + 0.7 - 1.2x + 0.6 = 1.2 - 0.9x

Combine like terms:

-0.85x + 1.3 = 1.2 - 0.9x

Next, add 0.9x to both sides to isolate the x term:

-0.85x + 0.9x + 1.3 = 1.2

0.05x + 1.3 = 1.2

Subtract 1.3 from both sides:

0.05x = -0.1

Finally, divide by 0.05 to solve for x:

x = -0.1 / 0.05
x = -2

Therefore, the solution to the equation is x = -2.