The solution of the equation which is as described in the task content when expressed in its simplest form is; -5/13.
<h3>What is the solution of the equation as described in the task content?</h3>
It follows from the task content that the solution to the equation is to be determined and expressed in its simplest form.
Given;
-1/2 -1/2(4/5x+1) = -2 -3x
By distributing the coefficients: we have;
-1/2 - 2/5x - 1/2 = -2 -3x
Hence, by collecting like terms; we have;
-1/2 - 1/2 + 2 = -3x + (2/5)x
1 = -13x/5
Therefore; by cross-multiplication; we have;
5 = -13x
Divide both sides by; -13.
x = -5/13.
Ultimately, the solution of the equation which is as described in the task content when expressed in its simplest form is; -5/13.
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