# Chapter 3 - Section 3.3 - Solving Linear Equations in One Variable - Exercise Set: 39

The solution is -6

#### Work Step by Step

6( 7x - 1) = 43x Apply the distributive property 6$\times$7x - 6$\times$1 = 43x Multiply 42x -6 =43x Subtract 43x from both sides 42x -6 -43x=43x -43x -x - 6 =0 Add 6 to both sides -x - 6 + 6 = 0 +6 -x = 6 Divide by -1 on both sides $\frac{-x}{-1}$ = $\frac{6}{-1}$ x = -6 The solution is -6 Check 6( 7x - 1) = 43x 6[7(-6)- 1) = 43(-6) 6[-42 -1 ]=-258 6[-43]=-258 -258=-258

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