# Nice Euler Line Problem

Geometry Level 3

Consider $\triangle ABC$, with $A=(0,0), B=(5,-10), C=(-24, 7)$. The slope of the Euler line for $\triangle ABC$, in its simplest form, can be written as $\dfrac{a}{b}$. Point $D$ is the centroid of $\triangle ABC$, whose coordinates can be written as $(d,c)$.

If $ac+bc=x,$ what is $x+6713.8$?

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