First, expand the terms on the left side of the equation by multiplying each term within the parenthesis by the term outside the parenthesis:
#color(red)(6)(x - 1) = 9.4 - 1.7x#
#(color(red)(6) xx x) - (color(red)(6) xx 1) = 9.4 - 1.7x#
#6x - 6 = 9.4 - 1.7x#
Next, add #color(red)(6)# and #color(blue)(1.7x)# to each side of the equation to isolate the #x# term while keeping the equation balanced:
#6x - 6 + color(red)(6) + color(blue)(1.7x) = 9.4 - 1.7x + color(red)(6) + color(blue)(1.7x)#
#6x + color(blue)(1.7x) - 6 + color(red)(6) = 9.4 + color(red)(6) - 1.7x + color(blue)(1.7x)#
#(6 + color(blue)(1.7))x - 0 = 15.4 - 0#
#7.7x = 15.4#
Now, divide each side of the equation by #color(red)(7.7)# to solve for #x# while keeping the equation balanced:
#(7.7x)/color(red)(7.7) = 15.4/color(red)(7.7)#
#(color(red)(cancel(color(black)(7.7)))x)/cancel(color(red)(7.7)) = 2#
#x = 2#
