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The sum of all values of xxx that satisfy
6(5x+6)3−5(6x−11)3=1,\large{\sqrt [ 3 ]{ 6(5x+6) }-\sqrt [ 3 ]{ 5(6x-11) }=1},36(5x+6)−35(6x−11)=1,
can be expressed as mn,\dfrac{m}{n},nm, where mmm and nnn are coprime integers. Find m+n.m+n.m+n.
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