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Question

38=-17-65x
Solve the equation
x=-\frac{11}{13}
Alternative Form
x=-0.\dot{8}4615\dot{3}
Evaluate
38=-17-65x
Swap the sides of the equation
-17-65x=38
Move the constant to the right-hand side and change its sign
-65x=38+17
Add the numbers
-65x=55
Change the signs on both sides of the equation
65x=-55
Divide both sides
\frac{65x}{65}=\frac{-55}{65}
Divide the numbers
x=\frac{-55}{65}
Solution
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Evaluate
\frac{-55}{65}
\text{Cancel out the common factor }5
\frac{-11}{13}
\text{Use }\frac{-a}{b}=\frac{a}{-b}=-\frac{a}{b}\text{ to rewrite the fraction}
-\frac{11}{13}
x=-\frac{11}{13}
Alternative Form
x=-0.\dot{8}4615\dot{3}
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Rewrite the equation
13x=-11
Evaluate
38=-17-65x
Rewrite the expression
-17-65x=38
Move the constant to the right side
-65x=55
Multiply both sides
65x=-55
Solution
13x=-11
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