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If x,y,zx, y, zx,y,z are positive inetgers satisfying the equation x(x+y) = y(y+z) = z(z+x),x(x+y) \ = \ y(y+z) \ = \ z(z+x),x(x+y) = y(y+z) = z(z+x), is it definitely true that x=y=z?x=y=z?x=y=z?
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