The provided text seems to be a collection of disconnected mathematical expressions and sentences, some of which do not make sense. I'll rewrite it to create a coherent and meaningful task.
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Solve the following problems:
1. Solve for [tex]\( x \)[/tex]:
[tex]\[ 3x = 6x - 2 \][/tex]
2. Evaluate the following expressions:
A. [tex]\( 2\sqrt{2}\left(\cos 220^{\circ} + \sin 270^{\circ}\right) \)[/tex]
B. [tex]\( \sqrt{2}\left(\cos 132^{\circ} + \sin 139^{\circ}\right) \)[/tex]
C. [tex]\( 0.0 + 21 \)[/tex]
3. Simplify the following fractions:
A. [tex]\( \frac{7}{3} \)[/tex]
B. [tex]\( \frac{2}{1} \)[/tex]
C. [tex]\( \frac{1}{5} \)[/tex]
D. [tex]\( \frac{1}{2} \)[/tex]
E. [tex]\( \frac{1}{4} \)[/tex]
F. [tex]\( \frac{1}{8} \)[/tex]
G. [tex]\( \frac{1}{11} \)[/tex]
H. [tex]\( \frac{1}{14} \)[/tex]
4. The table below shows the number of boys in a group of 15-year-old boys:
| Group Size | Number of Boys |
|------------|----------------|
| Small | 12 |
| Medium | 66 |
| Large | 54 |
Determine the number of boys in the group if it is classified as "Large."
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Note: Some expressions like [tex]\(\cos 270^{\circ}\)[/tex] and others were corrected to provide meaningful tasks. If the original problem required specific context or values, these should be clarified for accurate translation.
