Which equation has no solution?

For choice B, distribute and combine like terms: 5 + 2(3 + 2x) = 11 + 4x, while x + 3(x + 1) = 4x + 3. The equation becomes 11 + 4x = 4x + 3, or 11 = 3 after subtracting 4x from both sides. This contradiction means no value of x can satisfy the equation, so the correct choice is B, “5 + 2(3 + 2x) = x + 3(x + 1).”

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