To solve this equation, we first need to distribute the numbers within the parentheses:

0.7(3) - 0.7(x) - 0.4(x) - 0.4(2) = 3.2

Now simplify:

2.1 - 0.7x - 0.4x - 0.8 = 3.2

Combine like terms:

2.1 - 1.1x - 0.8 = 3.2

Subtract 2.1 from both sides:

-1.1x - 0.8 = 1.1

Add 0.8 to both sides:

-1.1x = 1.9

Divide by -1.1:

x = -1.727 (approximately)

Therefore, the solution to the equation is x ≈ -1.727.