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The clause of the U.S. Constitution that was at the center of the argument in Brown v. Board of Education of Topeka was the Equal Protection Clause of the Fourteenth Amendment.

The Equal Protection Clause states that no state shall "deny to any person within its jurisdiction the equal protection of the laws." In Brown v. Board of Education of Topeka, the plaintiffs argued that the segregation of public schools based on race violated the Equal Protection Clause, as it denied African American students the same educational opportunities as white students.

The Supreme Court ultimately ruled in favor of the plaintiffs, finding that segregation in public schools was unconstitutional and violated the Equal Protection Clause. This decision had a significant impact on the civil rights movement and helped to pave the way for the desegregation of schools across the United States.

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