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Simplifying sqrt(x + 13) = 1 + sqrt(x + 2) Reorder the terms: qrst(13 + x) = 1 + sqrt(x + 2) (13 * qrst + x * qrst) = 1 + sqrt(x + 2) (13qrst + qrstx) = 1 + sqrt(x + 2) Reorder the terms: 13qrst + qrstx = 1 + qrst(2 + x) 13qrst + qrstx = 1 + (2 * qrst + x * qrst) 13qrst + qrstx = 1 + (2qrst + qrstx) Add '-1qrstx' to each side of the equation. 13qrst + qrstx + -1qrstx = 1 + 2qrst + qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 13qrst + 0 = 1 + 2qrst + qrstx + -1qrstx 13qrst = 1 + 2qrst + qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 13qrst = 1 + 2qrst + 0 13qrst = 1 + 2qrst Solving 13qrst = 1 + 2qrst Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2qrst' to each side of the equation. 13qrst + -2qrst = 1 + 2qrst + -2qrst Combine like terms: 13qrst + -2qrst = 11qrst 11qrst = 1 + 2qrst + -2qrst Combine like terms: 2qrst + -2qrst = 0 11qrst = 1 + 0 11qrst = 1 Divide each side by '11rst'. q = 0.09090909091r-1s-1t-1 Simplifying q = 0.09090909091r-1s-1t-1
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