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0.7\left(x+220\right)=5x
Variable x cannot be equal to -220 since division by zero is not defined. Multiply both sides of the equation by x+220.
0.7x+154=5x
Use the distributive property to multiply 0.7 by x+220.
0.7x+154-5x=0
Subtract 5x from both sides.
-4.3x+154=0
Combine 0.7x and -5x to get -4.3x.
-4.3x=-154
Subtract 154 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-154}{-4.3}
Divide both sides by -4.3.
x=\frac{-1540}{-43}
Expand \frac{-154}{-4.3} by multiplying both numerator and the denominator by 10.
x=\frac{1540}{43}
Fraction \frac{-1540}{-43} can be simplified to \frac{1540}{43} by removing the negative sign from both the numerator and the denominator.