Solve for x
x=-2
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7\left(6x+1\right)=11\left(2x-3\right)
Multiply both sides of the equation by 77, the least common multiple of 11,7.
42x+7=11\left(2x-3\right)
Use the distributive property to multiply 7 by 6x+1.
42x+7=22x-33
Use the distributive property to multiply 11 by 2x-3.
42x+7-22x=-33
Subtract 22x from both sides.
20x+7=-33
Combine 42x and -22x to get 20x.
20x=-33-7
Subtract 7 from both sides.
20x=-40
Subtract 7 from -33 to get -40.
x=\frac{-40}{20}
Divide both sides by 20.
x=-2
Divide -40 by 20 to get -2.
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