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