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4x+3x=87.84
Multiply both sides of the equation by 12, the least common multiple of 3,4.
7x=87.84
Combine 4x and 3x to get 7x.
x=\frac{87.84}{7}
Divide both sides by 7.
x=\frac{8784}{700}
Expand \frac{87.84}{7} by multiplying both numerator and the denominator by 100.
x=\frac{2196}{175}
Reduce the fraction \frac{8784}{700} to lowest terms by extracting and canceling out 4.