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x+9=\frac{7}{4}
Divide both sides by 4.
x=\frac{7}{4}-9
Subtract 9 from both sides.
x=\frac{7}{4}-\frac{36}{4}
Convert 9 to fraction \frac{36}{4}.
x=\frac{7-36}{4}
Since \frac{7}{4} and \frac{36}{4} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{29}{4}
Subtract 36 from 7 to get -29.