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6|-5x+1|-9=57165
Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.
6|-5x+1|=57174
Add 9 to both sides of the equation.
|-5x+1|=9529
Divide both sides by 6.
-5x+1=9529 -5x+1=-9529
Use the definition of absolute value.
-5x=9528 -5x=-9530
Subtract 1 from both sides of the equation.
x=-\frac{9528}{5} x=1906
Divide both sides by -5.