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4x-7+3x=0
Add 3x to both sides.
7x-7=0
Combine 4x and 3x to get 7x.
7x=7
Add 7 to both sides. Anything plus zero gives itself.
x=\frac{7}{7}
Divide both sides by 7.
x=1
Divide 7 by 7 to get 1.