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5\times 3+x\times 4=5.5\times 7
Multiply both sides by 7.
15+x\times 4=5.5\times 7
Multiply 5 and 3 to get 15.
15+x\times 4=38.5
Multiply 5.5 and 7 to get 38.5.
x\times 4=38.5-15
Subtract 15 from both sides.
x\times 4=23.5
Subtract 15 from 38.5 to get 23.5.
x=\frac{23.5}{4}
Divide both sides by 4.
x=\frac{235}{40}
Expand \frac{23.5}{4} by multiplying both numerator and the denominator by 10.
x=\frac{47}{8}
Reduce the fraction \frac{235}{40} to lowest terms by extracting and canceling out 5.