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4x+1-10x=1
Subtract 10x from both sides.
-6x+1=1
Combine 4x and -10x to get -6x.
-6x=1-1
Subtract 1 from both sides.
-6x=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 -6 is not equal to 0, x must be equal to 0.