7x - 0.5 = 6 - 1.5(2x + 1)

7x - 0.5 = 6 - 3x - 1.5

Adding 3x to both sides:

7x + 3x - 0.5 = 6 - 1.5

10x - 0.5 = 6 - 1.5

Adding 0.5 to both sides:

10x = 6 - 1.5 + 0.5

10x = 5

Dividing by 10:

x = 0.5

Therefore, the solution to the equation is x = 0.5.