Evaluate 4x+134x + \frac{1}{3}4x+31 when x=34x = \frac{3}{4}x=43.
Substitute x=34x = \frac{3}{4}x=43 into the expression.
4x+13=4⋅34+134x + \frac{1}{3} = 4 \cdot \frac{3}{4} + \frac{1}{3}4x+31=4⋅43+31.
Simplify the multiplication.
4⋅34=34 \cdot \frac{3}{4} = 34⋅43=3, so the expression becomes 3+133 + \frac{1}{3}3+31.
Add the terms.
3+13=93+13=1033 + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3}3+31=39+31=310.
103\boxed{\frac{10}{3}}310
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