To solve the equation, first distribute the factors:

-1.5(1.4x) - 1.5(-3.5) = 0.5(2.3x) - 0.5(9)

-2.1x + 5.25 = 1.15x - 4.5

Next, combine like terms:

-2.1x - 1.15x = -4.5 - 5.25

-3.25x = -9.75

Now, divide by -3.25 to solve for x:

x = -9.75 / -3.25

x = 3

Therefore, the solution to the equation is x = 3.