5x = 8k+1 x = 5,13,21, ...
Step 1: Subtract 1 from both sides 5x - 1 = 0 (mod 8) Step 2: Divide both sides by 5 x = -1 (mod 8) Step 3: Add 8 to both sides x = 7 (mod 8) Therefore, the solution is x = 7 (mod 8).
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