Задание 1. Найдите корень уравнения: 1) x + 3 = -9x; 2) -3x - 9 = 2x; 3) 6x + 1 = -4x; 4) -2x - 4 = 3x; 5) 3x + 3 = 5x; 6) -8x - 3 = -6x; 7) 7 + 8x = -2x - 5; 8) -5 + 9x = 10x + 4; 9) 1 - 10x = -5x + 10; 10) -4 - 6x = 4x - 3; 11) 2 + 3x = -7x - 5; 12) -1 - 3x = 2x + 1; 13) 4(x - 8) = -5; 14) 10(x - 9) = -7; 15) 5(x + 9) = -8; 16) 4(x + 1) = 9; 17) 10(x + 2) = -7; 18) 5(x - 6) = 2.

1. \(x+3=-9x\Rightarrow 10x=-3\Rightarrow x=-\frac{3}{10}\).
2. \(-3x-9=2x\Rightarrow -5x=9\Rightarrow x=-\frac{9}{5}\).
3. \(6x+1=-4x\Rightarrow 10x=-1\Rightarrow x=-\frac{1}{10}\).
4. \(-2x-4=3x\Rightarrow -5x=4\Rightarrow x=-\frac{4}{5}\).
5. \(3x+3=5x\Rightarrow 3=2x\Rightarrow x=\frac{3}{2}\).
6. \(-8x-3=-6x\Rightarrow -3=2x\Rightarrow x=-\frac{3}{2}\).
7. \(7+8x=-2x-5\Rightarrow 10x=-12\Rightarrow x=-\frac{6}{5}\).
8. \(-5+9x=10x+4\Rightarrow -9=x\Rightarrow x=-9\).
9. \(1-10x=-5x+10\Rightarrow -5x=9\Rightarrow x=-\frac{9}{5}\).
10. \(-4-6x=4x-3\Rightarrow -1=10x\Rightarrow x=-\frac{1}{10}\).
11. \(2+3x=-7x-5\Rightarrow 10x=-7\Rightarrow x=-\frac{7}{10}\).
12. \(-1-3x=2x+1\Rightarrow -2=5x\Rightarrow x=-\frac{2}{5}\).
13. \(4(x-8)=-5\Rightarrow x-8=-\frac{5}{4}\Rightarrow x=\frac{27}{4}\).
14. \(10(x-9)=-7\Rightarrow x-9=-\frac{7}{10}\Rightarrow x=\frac{83}{10}\).
15. \(5(x+9)=-8\Rightarrow x+9=-\frac{8}{5}\Rightarrow x=-\frac{53}{5}\).
16. \(4(x+1)=9\Rightarrow x+1=\frac{9}{4}\Rightarrow x=\frac{5}{4}\).
17. \(10(x+2)=-7\Rightarrow x+2=-\frac{7}{10}\Rightarrow x=-\frac{27}{10}\).
18. \(5(x-6)=2\Rightarrow x-6=\frac{2}{5}\Rightarrow x=\frac{32}{5}\).

Ответ: 1) \(-\frac{3}{10}\); 2) \(-\frac{9}{5}\); 3) \(-\frac{1}{10}\); 4) \(-\frac{4}{5}\); 5) \(\frac{3}{2}\); 6) \(-\frac{3}{2}\); 7) \(-\frac{6}{5}\); 8) \(-9\); 9) \(-\frac{9}{5}\); 10) \(-\frac{1}{10}\); 11) \(-\frac{7}{10}\); 12) \(-\frac{2}{5}\); 13) \(\frac{27}{4}\); 14) \(\frac{83}{10}\); 15) \(-\frac{53}{5}\); 16) \(\frac{5}{4}\); 17) \(-\frac{27}{10}\); 18) \(\frac{32}{5}\).