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To solve for x, we need to isolate x on one side of the equation.
To do this, we can multiply both sides of the equation by 4x to eliminate the fraction:
4x * (-9) = 5
-36x = 5
Next, we divide both sides of the equation by -36 to solve for x:
x = 5 / -36
Simplifying the expression results in:
x = -5/36