Answer
$x=\frac{-(a^2+b^2)}{(a-b)}$
Work Step by Step
Bring x to one side and factor out $(a-b)$.
$ax-bx=-a^2-b^2$
$x(a-b)=-a^2-b^2$
$x(a-b)=-(a^2+b^2)$
Solve for x.
$x=\frac{-(a^2+b^2)}{(a-b)}$
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