Given the following straight line P as the intersection of the plane x+y-2z+1=0 and X=(1,1,0)+ α(3,2,4)+ β(-1,1,-1). Points A=(-2,0,4); B=(4,61); C=(-2,6,7) and number d=3.
On the straight-line P, find all the points that are distant d from the plane ABC.
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