Solve for x
x=6
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7\left(2x-7\right)+5\left(x+1\right)=70
Multiply both sides of the equation by 35, the least common multiple of 5,7.
14x-49+5\left(x+1\right)=70
Use the distributive property to multiply 7 by 2x-7.
14x-49+5x+5=70
Use the distributive property to multiply 5 by x+1.
19x-49+5=70
Combine 14x and 5x to get 19x.
19x-44=70
Add -49 and 5 to get -44.
19x=70+44
Add 44 to both sides.
19x=114
Add 70 and 44 to get 114.
x=\frac{114}{19}
Divide both sides by 19.
x=6
Divide 114 by 19 to get 6.
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