exam Maths Puzzle Numerical Ability

Give the reasons for the steps in the following proof. If 3x+(-1)=0, then x= 1/3
3x+(-1)=0
[3x+(-1)]+1= 0+1
3x+[(-1)+1]= 0+1
3x+0= 0+1
3x= 1
1/3(3x)= 1/3(1)
(1/3*3)x= 1/3*1
1*x= 1/3*1
x= 1/3

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