To solve this equation, we need to simplify both sides of the equation and then solve for x.

Starting with the left side of the equation:
(-3/5x - 1/2) * (3/4) - (-1)

First, let's simplify the expression inside the parentheses:
(-3/5x - 1/2)

To combine the fractions, we need a common denominator of 10:
(-6/10x - 5/10)

Now, let's multiply this expression by 3/4:
(-6/10x - 5/10) * (3/4)

To multiply fractions, we multiply the numerators together and the denominators together:
(-6 * 3) / (10 * 4x) - (5/10 * 3/4)
= -18/40x - 15/40

Now, let's simplify the right side of the equation:
1/3

Now, we have the equation:
-18/40x - 15/40 = 1/3

To solve for x, we need to isolate the variable. Let's start by getting rid of the fractions by multiplying both sides of the equation by the least common denominator, which is 120:
120 * (-18/40x - 15/40) = 120 * (1/3)

Simplifying the left side:
(-18/40 * 120x) + (-15/40 * 120) = 40

Multiplying:
-54x - 45 = 40

Now, let's isolate the variable by moving the constant term to the other side of the equation:
-54x = 40 + 45
-54x = 85

Finally, divide both sides of the equation by -54 to solve for x:
x = 85 / -54

Simplifying the fraction:
x = -85/54

So the solution to the equation is x = -85/54.