Part 2 -45 + 7(x + 2) - 6x (no justification needed) = -45+ (7x + 14) - 6x = -45+ (14+ 7x) - 6x = (-45 + 14) + 7x - 6x =-31+ 7x-6x (no justification needed) =-31+ (7-6)x = -31 + 1x (no justification needed) = -31 + x = x + (-31)
−45+7(x+2)−6x (No justification needed)
=−45+(7x+14)−6x (by using Distributive property {a(b+c)=ab+ac}ab+c=ab+ac)
=−45+(14+7x)−6x (by using Commutative property {a+b=b+a}a+b=b+a)
=(−45+14)+7x−6x (by using Associativity property {a+(b+c)=(a+b)+c}a+b+c=a+b+c)
=−31+7x−6x (No justification needed)
=−31+(7−6)x6 (by using Distributive property {ab+ac=a(b+c)}ab+ac=ab+c)
=−31+1x (No justification needed)
=−31+x (by using Identity property {a×1=a}a×1=a)
=x+(−31) (by using Commutative property {a+b=b+a}a+b=b+a)
I said here how to solve each one, but my teacher said there is more to it, such as "communatative property of addition" am I missing more to the property classifications than I wrote? I attached the picture with the original question on it.
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