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x+7=-3x+8
Variable x cannot be equal to \frac{8}{3} since division by zero is not defined. Multiply both sides of the equation by -3x+8.
x+7+3x=8
Add 3x to both sides.
4x+7=8
Combine x and 3x to get 4x.
4x=8-7
Subtract 7 from both sides.
4x=1
Subtract 7 from 8 to get 1.
x=\frac{1}{4}
Divide both sides by 4.