First, expand the term in parenthesis on the right side of the equation by multiplying each term within the parenthesis by the term outside the parenthesis:
#134 = color(red)(-5)(5x - 7) - 1#
#134 = (color(red)(-5) xx 5x) + (color(red)(-5) xx -7) - 1#
#134 = -25x + 35 - 1#
#134 = -25x + 34#
Next, subtract #color(red)(34)# from each side of the equation to isolate the #x# term while keeping the equation balanced:
#134 - color(red)(34) = -25x + 34 - color(red)(34)#
#100 = -25x + 0#
#100 = -25x#
Now, divide each side of the equation by #color(red)(-25)# to solve for #x# while keeping the equation balanced:
#100/color(red)(-25) = (-25x)/color(red)(-25)#
#-4 = (color(red)(cancel(color(black)(-25)))x)/cancel(color(red)(-25))#
#-4 = x#
#x = -4#
