First, combine like terms on the left side of the equation:
#4color(red)(x) - 1color(red)(x) + 25color(red)(x) + 6 = 0#
#(4 - 1 + 25)color(red)(x) + 6 = 0#
#28x + 6 = 0#
Next, subtract #color(red)(6)# from each side of the equation to isolate the #x# term while keeping the equation balanced:
#28x + 6 - color(red)(6) = 0 - color(red)(6)#
#28x + 0 = -6#
#28x = -6#
Now, divide each side of the equation by #color(red)(28)# to solve for #x# while keeping the equation balanced:
#(28x)/color(red)(28) = -6/color(red)(28)#
#(color(red)(cancel(color(black)(28)))x)/cancel(color(red)(28)) = -3/14#
#x = -3/14#