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15-14x-7=-6x
Use the distributive property to multiply -7 by 2x+1.
8-14x=-6x
Subtract 7 from 15 to get 8.
8-14x+6x=0
Add 6x to both sides.
8-8x=0
Combine -14x and 6x to get -8x.
-8x=-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-8}{-8}
Divide both sides by -8.
x=1
Divide -8 by -8 to get 1.