Finding current in a parallel circuit

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rms5643
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Homework Statement


Determine IL in the circuit in the Figure.
Figure: http://i.imgur.com/PvKXtjX.png

V1 = ?
Ix = ?
IL = ?
3*Ix current source pointing downwards
7mA current source pointing upwards
7mA current source pointing downwards
7kOhm resistor
1kOhm resistor

Homework Equations


Ohm's law, KCL

The Attempt at a Solution


The hint to the problem told me to: "Write a KCL equation at the top node and express any control variables for dependent sources in terms of the unknown node voltage."

So, I wrote the equation and I got:

V1/5kΩ+3(V1/5kΩ)+V1/7kΩ+V1/1kΩ=0

I'm not quite sure where to go from here or how this form would be useful to me. Any pointers on where I should go from here? Thank you
 
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