A cable runs along the wall from C to P at a cost of $3 per meter ,and straight from P to M at a cost of $5 per meter. Let x be the distance from C to P. If M is 8 meters from the nearest point A on the wall where P lies,and A is 18 meters from C,find x such that the cost of installing the cable is minimized and find this cost.
The cost is minimized when x is____meters.
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