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To determine the rational expression with a domain restriction of x ≠ -1, we need to find an expression where the denominator does not equal zero when x = -1.
In the expression x^2 + 6x + 5 / 6x + 6, if we plug in x = -1 into the denominator, we get:
6(-1) + 6 = -6 + 6 = 0.
Since the denominator becomes zero when x = -1, this expression does not satisfy the domain restriction of x ≠ -1. Therefore, the correct answer is none of the given options.