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Justifying an Equation with Algebraic Properties

Horizontales
3(6)=6(3)
1=x is the same as x=1
10(1)=10
What you do to one side of an equation, you do the other
2(a+b)=2a+2b
-5+5=0
Verticales
5+6=6+5
5+0=5
6/6=1
(x+7)+5=(5+7)+x