First, subtract color(red)(7)7 from each side of the inequality to isolate the xx term while keeping the inequality balanced:
-7x + 7 - color(red)(7) <= -56 - color(red)(7)−7x+7−7≤−56−7
-7x + 0 <= -63−7x+0≤−63
-7x <= -63−7x≤−63
Now, divide each side of the inequality by color(blue)(-7)−7 to solve for xx while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative number we must reverse the inequality operator:
(-7x)/color(blue)(-7) color(red)(>=) (-63)/color(blue)(-7)−7x−7≥−63−7
(color(red)(cancel(color(black)(-7)))x)/cancel(color(blue)(-7)) color(red)(>=) 9
x >= 9
