To determine which equation has exactly one solution, we can analyze each option:
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3x + 4 = 3x + 3: Subtracting 3x from both sides gives 4 = 3, which is a false statement. This means there is no solution.
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4x + 3 = 4x + 3: This simplifies to 0 = 0, which is always true. Thus, it has infinitely many solutions.
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3x + 4 = 3x + 4: This also simplifies to 0 = 0, meaning it has infinitely many solutions as well.
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3x + 4 = 4x + 3: Subtracting 3x from both sides gives 4 = x + 3. Subtracting 3 from both sides gives x = 1. This means there is exactly one solution, x = 1.
Therefore, the equation with exactly one solution is 3x + 4 = 4x + 3.
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