Did the Jews listen to Moses or not?

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This page is from the site's earlier list of apparent contradictions. For answers, see Difficult Passages.

Exodus 4:31 - And the people believed: and when they heard that the LORD had visited the children of Israel, and that he had looked upon their affliction, then they bowed their heads and worshipped.
Exodus 6:9 - And Moses spake so unto the children of Israel: but they hearkened not unto Moses for anguish of spirit, and for cruel bondage.

"And the people believed: and when they heard that the LORD had visited the children of Israel, and that he had looked on their affliction, then they bowed their heads and worshipped." vs. "And Moses spake so unto the children of Israel: but they hearkened not unto Moses for anguish of spirit, and for cruel bondage."

How could the children of Israel accept Moses and Reject Moses at the same time?

Difficult Passages