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10x+1+7=19x-1
We move all terms to the left:
10x+1+7-(19x-1)=0
We add all the numbers together, and all the variables
10x-(19x-1)+8=0
We get rid of parentheses
10x-19x+1+8=0
We add all the numbers together, and all the variables
-9x+9=0
We move all terms containing x to the left, all other terms to the right
-9x=-9
x=-9/-9
x=1
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