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The first response is correct. The mistake was in multiplying both sides by 6 instead of dividing by 6. The correct steps should be to first simplify the equation:
6x^+3 = 6^2x-5
6(x + 3) = 6^(2x-5)
x + 3 = 2x - 5
Now, we can solve for x:
x + 3 = 2x - 5
x - 2x = -5 - 3
-x = -8
x = 8
Therefore, the correct solution is x = 8.