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7\times 4+x\left(-4\right)=-8x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
28+x\left(-4\right)=-8x
Multiply 7 and 4 to get 28.
28+x\left(-4\right)+8x=0
Add 8x to both sides.
28+4x=0
Combine x\left(-4\right) and 8x to get 4x.
4x=-28
Subtract 28 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-28}{4}
Divide both sides by 4.
x=-7
Divide -28 by 4 to get -7.