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\frac{17}{4}x+4=0
Combine \frac{25}{4}x and -2x to get \frac{17}{4}x.
\frac{17}{4}x=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
x=-4\times \frac{4}{17}
Multiply both sides by \frac{4}{17}, the reciprocal of \frac{17}{4}.
x=\frac{-4\times 4}{17}
Express -4\times \frac{4}{17} as a single fraction.
x=\frac{-16}{17}
Multiply -4 and 4 to get -16.
x=-\frac{16}{17}
Fraction \frac{-16}{17} can be rewritten as -\frac{16}{17} by extracting the negative sign.