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25\times 2x+1=2x+1
Multiply 5 and 5 to get 25.
50x+1=2x+1
Multiply 25 and 2 to get 50.
50x+1-2x=1
Subtract 2x from both sides.
48x+1=1
Combine 50x and -2x to get 48x.
48x=1-1
Subtract 1 from both sides.
48x=0
Subtract 1 from 1 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 48 is not equal to 0, x must be equal to 0.