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4=-5\left(x+1\right)
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.
4=-5x-5
Use the distributive property to multiply -5 by x+1.
-5x-5=4
Swap sides so that all variable terms are on the left hand side.
-5x=4+5
Add 5 to both sides.
-5x=9
Add 4 and 5 to get 9.
x=\frac{9}{-5}
Divide both sides by -5.
x=-\frac{9}{5}
Fraction \frac{9}{-5} can be rewritten as -\frac{9}{5} by extracting the negative sign.