## Thinking Mathematically (6th Edition)

9x -14 = -77 Step 1: Add 14 on both the sides 9x - 14 +14 = -77 +14 Step 2: Simplify 9x = -63 Step 3: Divide both the sides by 9 $\frac{9x}{9}$ = $\frac{-63}{9}$ Step 4: Simplify x = -7 Now we check the proposed solution, -7, by replacing x with -7 in the original equation. Step 1: the original equation 9x -14 =-77 Step2: Substitute -7 for x 9.(-7) - 14 = -77 Step 3: Multiply 9.(-7) = -63 -63 - 14 = -77 Step 4: Solve -63 -14 = -77 -77 =-77 Since the check results in true statement, we conclude that the solution set of the given equation is {-7}