a(x-2a)+b(x-2b)=4ab find x
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Given a(x – 2a) + b(x – 2b) = 4ab ⇒ ax – 2a2 + bx – 2b2 = 4ab ⇒ ax + bx = 2a2+ 2b2 + 4ab ⇒ (a + b)x = 2(a2+ b2 + 2ab) ⇒ (a + b)x = 2(a + b)2 ∴ x = 2(a + b)
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