Solve for x
x=4
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3x+2=-7\left(x-6\right)
Variable x cannot be equal to 6 since division by zero is not defined. Multiply both sides of the equation by x-6.
3x+2=-7x+42
Use the distributive property to multiply -7 by x-6.
3x+2+7x=42
Add 7x to both sides.
10x+2=42
Combine 3x and 7x to get 10x.
10x=42-2
Subtract 2 from both sides.
10x=40
Subtract 2 from 42 to get 40.
x=\frac{40}{10}
Divide both sides by 10.
x=4
Divide 40 by 10 to get 4.
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