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Given (35)x+1=12527
(35)x+1=(53)3
⇒(35)x+12=(35)-3
On comparing we get,
x+12=-3
⇒ x + 1 = -3 x 2
⇒ x + 1 = -6
⇒ x = -6 - 1
⇒ x = -7
Hence, the value of x = -7.
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