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Without seeing a diagram of the triangle and any possible angles:

153 > x > 372/3

There will be no triangle if the sum of the two shorter sides is less than or equal to the length of the longest side. This occurs if:

2x + (x+ 20) ≤ 133

⇒ x ≤ 372/3

or if:

2x ≥ (x+ 20) + 133

⇒ x ≥ 153

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Q: What is the value of x if one side of the triangle is 133 and the other is 2x and the other is x plus 20?
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