To simplify the expression \( x - \frac{5}{5} + 10 \), follow these steps:
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Simplify \(\frac{5}{5}\): \[ \frac{5}{5} = 1 \]
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Substitute this back into the expression: \[ x - 1 + 10 \]
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Combine the constant terms \(-1 + 10\): \[ -1 + 10 = 9 \]
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Therefore, the expression simplifies to: \[ x + 9 \]
Thus, the simplified expression is \( x + 9 \), which corresponds to option B.