Let's first distribute the 1.5 to both terms inside the parentheses on the left side of the equation:

1.5( x + 8 ) = 1.5x + 12

Now the equation becomes:

1.5x + 12 = -4x + 1

Next, let's move all terms with x to the left side of the equation and all constants to the right side:

1.5x + 4x = 1 - 12

Combining like terms:

5.5x = -11

Now, divide both sides by 5.5 to solve for x:

x = -11 / 5.5
x = -2

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