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Simplifying sqrt(4x + 4) = sqrt(2x + -3) + -1 Reorder the terms: qrst(4 + 4x) = sqrt(2x + -3) + -1 (4 * qrst + 4x * qrst) = sqrt(2x + -3) + -1 (4qrst + 4qrstx) = sqrt(2x + -3) + -1 Reorder the terms: 4qrst + 4qrstx = qrst(-3 + 2x) + -1 4qrst + 4qrstx = (-3 * qrst + 2x * qrst) + -1 4qrst + 4qrstx = (-3qrst + 2qrstx) + -1 Reorder the terms: 4qrst + 4qrstx = -1 + -3qrst + 2qrstx Solving 4qrst + 4qrstx = -1 + -3qrst + 2qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3qrst' to each side of the equation. 4qrst + 3qrst + 4qrstx = -1 + -3qrst + 3qrst + 2qrstx Combine like terms: 4qrst + 3qrst = 7qrst 7qrst + 4qrstx = -1 + -3qrst + 3qrst + 2qrstx Combine like terms: -3qrst + 3qrst = 0 7qrst + 4qrstx = -1 + 0 + 2qrstx 7qrst + 4qrstx = -1 + 2qrstx Add '-2qrstx' to each side of the equation. 7qrst + 4qrstx + -2qrstx = -1 + 2qrstx + -2qrstx Combine like terms: 4qrstx + -2qrstx = 2qrstx 7qrst + 2qrstx = -1 + 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 7qrst + 2qrstx = -1 + 0 7qrst + 2qrstx = -1 Reorder the terms: 1 + 7qrst + 2qrstx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 7qrst + 2qrstx = 0 The solution to this equation could not be determined.
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