You may refuse by saying, "Thank you for inviting me, but I will not be able to come."

你可以这样拒绝：“谢谢你的邀请，但我来不了。”

youdao

Thank you for inviting me.

谢谢你邀请我。

youdao

All the same, thank you for inviting me.

尽管如此，还是谢谢你的邀请。

youdao

Well, thank you very much for inviting me.

也谢谢你邀请我。

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Mr. RICHARD BARTON (CEO, zillow.com): Well, thank you for inviting me on the show, Michele.

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And, thank you for inviting me to be a part of this important conference.

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Mr. President, firstly, thank you for inviting me to visit the United States.

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