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x+x+1+x+2+x+3+x+4+x+5+x+6=20\times 7
Multiply both sides by 7.
2x+1+x+2+x+3+x+4+x+5+x+6=20\times 7
Combine x and x to get 2x.
3x+1+2+x+3+x+4+x+5+x+6=20\times 7
Combine 2x and x to get 3x.
3x+3+x+3+x+4+x+5+x+6=20\times 7
Add 1 and 2 to get 3.
4x+3+3+x+4+x+5+x+6=20\times 7
Combine 3x and x to get 4x.
4x+6+x+4+x+5+x+6=20\times 7
Add 3 and 3 to get 6.
5x+6+4+x+5+x+6=20\times 7
Combine 4x and x to get 5x.
5x+10+x+5+x+6=20\times 7
Add 6 and 4 to get 10.
6x+10+5+x+6=20\times 7
Combine 5x and x to get 6x.
6x+15+x+6=20\times 7
Add 10 and 5 to get 15.
7x+15+6=20\times 7
Combine 6x and x to get 7x.
7x+21=20\times 7
Add 15 and 6 to get 21.
7x+21=140
Multiply 20 and 7 to get 140.
7x=140-21
Subtract 21 from both sides.
7x=119
Subtract 21 from 140 to get 119.
x=\frac{119}{7}
Divide both sides by 7.
x=17
Divide 119 by 7 to get 17.