1.119. 1) x + 0,75 + 5/8 = 2,125; 2) x + 7/12 = 1/3 + 0,5 * 1/3; 3) 1/4 - (0,7 - 2 * x) = 1,17; 4) 2,4 * x + 1/6 = 5/30 + 19/30.

Решение:

1. \( x + 0,75 + \frac{5}{8} = 2,125 \)
   \( x + \frac{3}{4} + \frac{5}{8} = 2\frac{1}{8} \)
   \( x + \frac{6}{8} + \frac{5}{8} = \frac{17}{8} \)
   \( x + \frac{11}{8} = \frac{17}{8} \)
   \( x = \frac{17}{8} - \frac{11}{8} \)
   \( x = \frac{6}{8} = \frac{3}{4} \)
2. \( x + \frac{7}{12} = \frac{1}{3} + 0,5 \cdot \frac{1}{3} \)
   \( x + \frac{7}{12} = \frac{1}{3} + \frac{1}{2} \cdot \frac{1}{3} \)
   \( x + \frac{7}{12} = \frac{1}{3} + \frac{1}{6} \)
   \( x + \frac{7}{12} = \frac{2}{6} + \frac{1}{6} \)
   \( x + \frac{7}{12} = \frac{3}{6} = \frac{1}{2} \)
   \( x = \frac{1}{2} - \frac{7}{12} \)
   \( x = \frac{6}{12} - \frac{7}{12} \)
   \( x = -\frac{1}{12} \)
3. \( \frac{1}{4} - (0,7 - 2x) = 1,17 \)
   \( \frac{1}{4} - (\frac{7}{10} - 2x) = \frac{117}{100} \)
   \( \frac{25}{100} - \frac{7}{10} + 2x = \frac{117}{100} \)
   \( \frac{25}{100} - \frac{70}{100} + 2x = \frac{117}{100} \)
   \( -\frac{45}{100} + 2x = \frac{117}{100} \)
   \( 2x = \frac{117}{100} + \frac{45}{100} \)
   \( 2x = \frac{162}{100} \)
   \( x = \frac{162}{200} = \frac{81}{100} = 0,81 \)
4. \( 2,4x + \frac{1}{6} = \frac{5}{30} + \frac{19}{30} \)
   \( \frac{24}{10}x + \frac{1}{6} = \frac{24}{30} \)
   \( \frac{12}{5}x + \frac{1}{6} = \frac{4}{5} \)
   \( \frac{12}{5}x = \frac{4}{5} - \frac{1}{6} \)
   \( \frac{12}{5}x = \frac{24}{30} - \frac{5}{30} \)
   \( \frac{12}{5}x = \frac{19}{30} \)
   \( x = \frac{19}{30} \cdot \frac{5}{12} \)
   \( x = \frac{19}{6 \cdot 12} = \frac{19}{72} \)

Ответ: 1) x = 3/4; 2) x = -1/12; 3) x = 0,81; 4) x = 19/72.