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-4x-1=-\left(2x+1\right)
To find the opposite of 4x+1, find the opposite of each term.
-4x-1=-2x-1
To find the opposite of 2x+1, find the opposite of each term.
-4x-1+2x=-1
Add 2x to both sides.
-2x-1=-1
Combine -4x and 2x to get -2x.
-2x=-1+1
Add 1 to both sides.
-2x=0
Add -1 and 1 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -2 is not equal to 0, x must be equal to 0.