Thực hiện phép tính (hợp lí nếu có thể):

$$\begin{gathered} \mathrm{Thực} \mathrm{hiện} \mathrm{phép} \mathrm{tính}(\mathrm{hợp} \mathrm{lí} \mathrm{nếu} \mathrm{có} \mathrm{thể}) \\ 234+117+\left(-100\right)+\left(-234\right) \\ -927+1421+930+\left(-1421\right) \\ -2012+\left(-596\right)+\left(-201\right)+496 301 \\ 11-12+13-14+15-16+17-18+19-20 \\ \mathrm{Tìm} \mathrm{số} \mathrm{nguyên} \mathrm{x},\mathrm{biết}: \\ 3-\left(17-\mathrm{x}\right)=289-\left(36+289\right) \\ 25-\left(\mathrm{x}+5\right)=-415-\left(15-415\right) \\ 34+\left(21-\mathrm{x}\right)=\left(3747-30\right)-3746 \\ \left|\mathrm{x}-3\right|-16=-4 \\ 26-\left|\mathrm{x}+9\right|=-13 \\ \left|\mathrm{x}+2\right|+21=25 \\ \mathrm{Tìm} \mathrm{x} \mathrm{để} \mathrm{tổng} \mathrm{M}=-5+\left|\mathrm{x}-3\right| \mathrm{đạt} \mathrm{giá} \mathrm{trị} \mathrm{nhỏ} \mathrm{nhất}. \\ \mathrm{Tìm} \mathrm{x} \mathrm{để} \mathrm{hiệu} \mathrm{M}=9-\left|\mathrm{x}-3\right| \mathrm{đạt} \mathrm{giá} \mathrm{trị} \mathrm{lớn} \mathrm{nhỏ} \mathrm{nhất}. \\ \mathrm{Tính} \mathrm{tổng} \mathrm{S} \mathrm{trong} \mathrm{mỗi} \mathrm{trường} \mathrm{hợp} \mathrm{sau}: \\ \mathrm{S}=1-2+3-4+5-6+7-8+9-10 \\ \mathrm{S}=1-2+3-4+5-6+...+2013-2014. \end{gathered}$$