3x-7=-7
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+7 +7 add 7 to each side
3x=0
-3 -3 subtract 3 from each side
x=-3
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The equation 3m - 3m - 7 = 0, simplifies to -7 = 0 this means that the the solution is no solution, since -7 doesn't equal 0.
15-b=7.
Not sure what you mean; that equation certainly has a solution.
Another solution for x+y = 7 is y = -x+7