Find the interval of all x such that $1-3x < x \le 1-x +3x - 7$. Give your answer in interval notation, simplifying any fractions which appear in your answer.
+182 \(\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:6\:\\ \:\mathrm{Interval\:Notation:}&\:[6,\:\infty \:)\end{bmatrix}\)
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