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The equation that has no solutions is B. −6x+4=6x+3.
In this equation, when we solve for x, we get:
-6x + 4 = 6x + 3
-6x - 6x = 3 - 4
-12x = -1
x = -1 / -12
x = 1/12
Therefore, the equation does have a solution, so the correct answer is not B.