Final answer:
The equation 10 + x = 79 is solved using the Addition or Subtraction Property of Equality. It does not utilize Multiplication or Division Property of Equality, Distributive Property, or Commutative Property.
Step-by-step explanation:
The equation 10 + x = 79 applies to the Addition or Subtraction Property of Equality. This property states that if you add or subtract the same number from both sides of an equation, the two sides remain equal. Therefore, to solve for x, you would subtract 10 from both sides of the equation, getting x = 79 - 10, which simplifies to x = 69. The equation does not use the Multiplication or Division Property of Equality, as we are not multiplying or dividing both sides by the same number. It also does not use the Distributive Property, which relates to multiplying a single term by a sum or difference, nor the Commutative Property, which would relate to the order of addition or multiplication.