Let's first distribute the -3 on the left side and the -0.5 on the right side:

-4.5x + 6 = 1 - x - 0.5

Next, let's combine like terms on the right side:

-4.5x + 6 = 0.5 - x

Now, let's isolate x by first adding x to both sides:

-3.5x + 6 = 0.5

Then, subtract 6 from both sides:

-3.5x = -5.5

Finally, divide by -3.5 to solve for x:

x = 1.5714