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180+x=1.4\left(-x+180\right)
Variable x cannot be equal to 180 since division by zero is not defined. Multiply both sides of the equation by -x+180.
180+x=-1.4x+252
Use the distributive property to multiply 1.4 by -x+180.
180+x+1.4x=252
Add 1.4x to both sides.
180+2.4x=252
Combine x and 1.4x to get 2.4x.
2.4x=252-180
Subtract 180 from both sides.
2.4x=72
Subtract 180 from 252 to get 72.
x=\frac{72}{2.4}
Divide both sides by 2.4.
x=\frac{720}{24}
Expand \frac{72}{2.4} by multiplying both numerator and the denominator by 10.
x=30
Divide 720 by 24 to get 30.