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\begin{aligned} -\frac{3}{4} x & \geq-\frac{5}{8}+\frac{2}{3} x & & \\ -\frac{3}{4} x-\frac{2}{3} x & \geq-\frac{5}{8} & & \text { Put variable terms on one side. } \\ -\frac{9}{12} x-\frac{8}{12} x & \geq-\frac{5}{8} & & \text { Write fractions with common denominator. } \\ -\frac{17}{12} x & \geq-\frac{5}{8} & \\ x & \leq-\frac{5}{8}\left(-\frac{12}{17}\right) & & \text { Multiplying by a negative number reverses the inequality. } \\ x & \leq \frac{15}{34} & & \end{aligned}