[tex]a)7x - 7 = 6 - 3(x + 1) \\ 7x - 7 = 6 - 3x + 3 \\ 7x + 3x = 3 + 6 + 7 \\ 10x = 16 \\ x = 16 \div 10 \\ x = 1.6 \\ b)3x - 4 = x + 2(x - 2) \\ 3x - 4 = x + 2x - 4 \\ 3x - 2x = - 4 + 4 \\ x = 0 \\ c)x(x + 1) = {x}^{2} + 2x + 1 \\ {x}^{2} + x = {x}^{2} + 2x + 1 \\ {x}^{2} - {x}^{2} + x - 2x = 1 \\ - x = 1 \\ x = - 1 \\ d)2(2x - 5) = 4( x - 2) - 6 \\ 4x - 10 = 4x - 8 - 6 \\ 4x - 4x = - 6 - 8 + 10 \\ 0 = - 14 + 10 \\ 0 = 4 \\ e)5(1 - 2x) + 1 = 4(x + 3) + 8 \\ 5 - 10x + 1 = 4x + 12 + 8 \\ - 10x - 4x = 12 + 8 - 5 - 1 \\ - 14x = 14 \\ x = - 14 \div 14 \\ x = - 1[/tex]
