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Simplifying sqrt(3x + -8) + 1 = sqrt(x + 5) Reorder the terms: qrst(-8 + 3x) + 1 = sqrt(x + 5) (-8 * qrst + 3x * qrst) + 1 = sqrt(x + 5) (-8qrst + 3qrstx) + 1 = sqrt(x + 5) Reorder the terms: 1 + -8qrst + 3qrstx = sqrt(x + 5) Reorder the terms: 1 + -8qrst + 3qrstx = qrst(5 + x) 1 + -8qrst + 3qrstx = (5 * qrst + x * qrst) 1 + -8qrst + 3qrstx = (5qrst + qrstx) Solving 1 + -8qrst + 3qrstx = 5qrst + qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5qrst' to each side of the equation. 1 + -8qrst + -5qrst + 3qrstx = 5qrst + -5qrst + qrstx Combine like terms: -8qrst + -5qrst = -13qrst 1 + -13qrst + 3qrstx = 5qrst + -5qrst + qrstx Combine like terms: 5qrst + -5qrst = 0 1 + -13qrst + 3qrstx = 0 + qrstx 1 + -13qrst + 3qrstx = qrstx Add '-1qrstx' to each side of the equation. 1 + -13qrst + 3qrstx + -1qrstx = qrstx + -1qrstx Combine like terms: 3qrstx + -1qrstx = 2qrstx 1 + -13qrst + 2qrstx = qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 1 + -13qrst + 2qrstx = 0 Add '-1' to each side of the equation. 1 + -13qrst + -1 + 2qrstx = 0 + -1 Reorder the terms: 1 + -1 + -13qrst + 2qrstx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -13qrst + 2qrstx = 0 + -1 -13qrst + 2qrstx = 0 + -1 Combine like terms: 0 + -1 = -1 -13qrst + 2qrstx = -1 Reorder the terms: 1 + -13qrst + 2qrstx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -13qrst + 2qrstx = 0 The solution to this equation could not be determined.
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