A manufacturing company has machine A and machine B and they have to produce a slot of 'x' pieces of the bolt. Machine A produces \(\frac{3}{8}\) of the total slot in time 't' and at the same time Machine B produces \(\frac{1}{3}\) of the total slot at the same time. If the remaining number of bolts to be produced after time 't' of production is 560, then find the value of 'x'.