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4x+2\times 4+1=2\times 4+1
Multiply both sides of the equation by 4.
4x+8+1=2\times 4+1
Multiply 2 and 4 to get 8.
4x+9=2\times 4+1
Add 8 and 1 to get 9.
4x+9=8+1
Multiply 2 and 4 to get 8.
4x+9=9
Add 8 and 1 to get 9.
4x=9-9
Subtract 9 from both sides.
4x=0
Subtract 9 from 9 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 4 is not equal to 0, x must be equal to 0.