Final answer:
The Camp David Accords, brokered by President Carter in 1978, sought to increase stability in the Middle East by facilitating Israel's withdrawal from the Sinai Peninsula and Egypt's recognition of Israel's legitimacy.
Explanation:
The document resulting from President Jimmy Carter's efforts to increase stability in the Middle East is the Camp David Accords. This agreement, brokered by Carter in 1978, led to Israel's withdrawal from the Sinai Peninsula and Egypt's recognition of Israel's legitimacy, marking an important step toward peace in the region.
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