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