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15\left(x+45\right)=4\times 100
Variable x cannot be equal to -45 since division by zero is not defined. Multiply both sides of the equation by x+45.
15x+675=4\times 100
Use the distributive property to multiply 15 by x+45.
15x+675=400
Multiply 4 and 100 to get 400.
15x=400-675
Subtract 675 from both sides.
15x=-275
Subtract 675 from 400 to get -275.
x=\frac{-275}{15}
Divide both sides by 15.
x=-\frac{55}{3}
Reduce the fraction \frac{-275}{15} to lowest terms by extracting and canceling out 5.