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Simplifying sqrt(2x + 1) + 5 = sqrt(x + 12) + -8 Reorder the terms: qrst(1 + 2x) + 5 = sqrt(x + 12) + -8 (1 * qrst + 2x * qrst) + 5 = sqrt(x + 12) + -8 (1qrst + 2qrstx) + 5 = sqrt(x + 12) + -8 Reorder the terms: 5 + 1qrst + 2qrstx = sqrt(x + 12) + -8 Reorder the terms: 5 + 1qrst + 2qrstx = qrst(12 + x) + -8 5 + 1qrst + 2qrstx = (12 * qrst + x * qrst) + -8 5 + 1qrst + 2qrstx = (12qrst + qrstx) + -8 Reorder the terms: 5 + 1qrst + 2qrstx = -8 + 12qrst + qrstx Solving 5 + 1qrst + 2qrstx = -8 + 12qrst + qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12qrst' to each side of the equation. 5 + 1qrst + -12qrst + 2qrstx = -8 + 12qrst + -12qrst + qrstx Combine like terms: 1qrst + -12qrst = -11qrst 5 + -11qrst + 2qrstx = -8 + 12qrst + -12qrst + qrstx Combine like terms: 12qrst + -12qrst = 0 5 + -11qrst + 2qrstx = -8 + 0 + qrstx 5 + -11qrst + 2qrstx = -8 + qrstx Add '-1qrstx' to each side of the equation. 5 + -11qrst + 2qrstx + -1qrstx = -8 + qrstx + -1qrstx Combine like terms: 2qrstx + -1qrstx = 1qrstx 5 + -11qrst + 1qrstx = -8 + qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 5 + -11qrst + 1qrstx = -8 + 0 5 + -11qrst + 1qrstx = -8 Add '-5' to each side of the equation. 5 + -11qrst + -5 + 1qrstx = -8 + -5 Reorder the terms: 5 + -5 + -11qrst + 1qrstx = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -11qrst + 1qrstx = -8 + -5 -11qrst + 1qrstx = -8 + -5 Combine like terms: -8 + -5 = -13 -11qrst + 1qrstx = -13 Reorder the terms: 13 + -11qrst + 1qrstx = -13 + 13 Combine like terms: -13 + 13 = 0 13 + -11qrst + 1qrstx = 0 The solution to this equation could not be determined.
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