Solve for x
x<7
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217-\left(4\times 7+1\right)x>14
Multiply both sides of the equation by 7. Since 7 is positive, the inequality direction remains the same.
217-\left(28+1\right)x>14
Multiply 4 and 7 to get 28.
217-29x>14
Add 28 and 1 to get 29.
-29x>14-217
Subtract 217 from both sides.
-29x>-203
Subtract 217 from 14 to get -203.
x<\frac{-203}{-29}
Divide both sides by -29. Since -29 is negative, the inequality direction is changed.
x<7
Divide -203 by -29 to get 7.
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