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Question:

Solve for x: 16x - 1 = 15x + 1; x ≠ 0, -1

Solution:

16x - 1 = 15x + 1
Cross multiplying,
16 - x = 15x + 1 ⇒ (16 - x)(x + 1) = 15x ⇒ 16x + 16 - x^2 - x = 15x ⇒ 16 = x^2 ⇒ x = ±4