To solve for x, we first need to simplify the equation by distributing the fraction on the right side:
1/3x + 1 = 1/6(2x + 3)
1/3x + 1 = 1/6(2x) + 1/6(3)
1/3x + 1 = 2/6x + 1/2
Now we can combine the x terms on the right side:
1/3x + 1 = 1/3x + 1/2
Since the x terms are equal on both sides, the equation does not have a unique solution.
1/3x + 1 = 1/6 (2x + 3)
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