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Explain Bot To find the value of x, we need to use the given information about the lengths of the segments EF, FG, and EG.
We know that EF = 10x + 12, FG = 14, and EG = 136.
To find x, we need to use the fact that the sum of the lengths of EF and FG must be equal to the length of EG. In other words, EF + FG = EG.
Substituting the given values, we have:
(10x + 12) + 14 = 136
Now, we can solve this equation for x.
10x + 12 + 14 = 136
Combining like terms, we get:
10x + 26 = 136
Next, isolate the variable x:
10x = 136 - 26
10x = 110
Lastly, divide both sides of the equation by 10 to solve for x:
x = 110/10
x = 11
Therefore, the value of x is 11.