1. 解方程:
(1)$\frac{x}{2} - 3 = 2 - 3.5x$;
(2)$x - 3(x + \frac{2}{3}) = 2(x - 4)$;
(3)$2(x - 2) - 3(4x - 1) = 9(1 - x)$;
(4)$\frac{2x + 1}{3} - \frac{x - 2}{4} = 1$;
(5)$x - \frac{2x - 1}{2} = 1 - \frac{1 - x}{3}$;
(6)$\frac{x - 1}{3} - \frac{x + 2}{6} = \frac{3x - 1}{2} - 1$.

(1)$x=\frac{5}{4}$
(2)$x=\frac{3}{2}$
(3)$x=-10$
(4)$x=\frac{2}{5}$
(5)$x=-\frac{1}{2}$
(6)$x=\frac{5}{8}$

2. 解方程：
(1) $\dfrac{1.5x}{0.6} - \dfrac{1.5 - x}{2} = 0.5$；
(2) $\dfrac{4 - 6x}{0.01} + 1 = \dfrac{0.02 - 2x}{0.02}$。

(1)$x=\frac{5}{12}$
(2)方程整理得$2(4-6x)+0.02=0.02-2x$,解得$x=0.8$.

3. 方程$2(x-m)+4=\dfrac{x}{3}$的解与$\dfrac{1}{4}(x+2)=\dfrac{2-x}{2}+1$的解相同，求$m$的值.

解方程$\frac{1}{4}(x+2)=\frac{2-x}{2}+1$得$x=2$,把$x=2$代入$2(x-m)+4=\frac{x}{3}$中,得$2(2-m)+4=\frac{2}{3}$,解得$m=\frac{11}{3}$.