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## 'Agile Algebra' printed from http://nrich.maths.org/

(1) Divide top and bottom of fractions by $x$ and substitute $X=2x
+ \frac{3}{x}.$

(2) Divide by $x^2$and substitute $X=x + \frac{1}{x}.$

(3) Combine brackets 1 and 4 and brackets 2 and 3.

(4) Substitute $X = 8x + 7$.