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To solve the equation 63 ÷ x = 9 using substitution, we can substitute each number from the set {6, 7, 8, 9} for x and see which number makes the equation true.
Substituting x = 6, we have 63 ÷ 6 = 10.5, which is not equal to 9.
Substituting x = 7, we have 63 ÷ 7 = 9, which is equal to 9.
Substituting x = 8, we have 63 ÷ 8 = 7.875, which is not equal to 9.
Substituting x = 9, we have 63 ÷ 9 = 7, which is not equal to 9.
Therefore, the number from the set {6, 7, 8, 9} that makes the equation 63 ÷ x = 9 true is 7.