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