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Simplifying sqrt(x + 9) = 1 + sqrt(x + 1) Reorder the terms: qrst(9 + x) = 1 + sqrt(x + 1) (9 * qrst + x * qrst) = 1 + sqrt(x + 1) (9qrst + qrstx) = 1 + sqrt(x + 1) Reorder the terms: 9qrst + qrstx = 1 + qrst(1 + x) 9qrst + qrstx = 1 + (1 * qrst + x * qrst) 9qrst + qrstx = 1 + (1qrst + qrstx) Add '-1qrstx' to each side of the equation. 9qrst + qrstx + -1qrstx = 1 + 1qrst + qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 9qrst + 0 = 1 + 1qrst + qrstx + -1qrstx 9qrst = 1 + 1qrst + qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 9qrst = 1 + 1qrst + 0 9qrst = 1 + 1qrst Solving 9qrst = 1 + 1qrst Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1qrst' to each side of the equation. 9qrst + -1qrst = 1 + 1qrst + -1qrst Combine like terms: 9qrst + -1qrst = 8qrst 8qrst = 1 + 1qrst + -1qrst Combine like terms: 1qrst + -1qrst = 0 8qrst = 1 + 0 8qrst = 1 Divide each side by '8rst'. q = 0.125r-1s-1t-1 Simplifying q = 0.125r-1s-1t-1
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