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Simplifying sqrt(x + 12) + -3 = sqrt(x + 30) + -1sqrt(x + 12) Reorder the terms: qrst(12 + x) + -3 = sqrt(x + 30) + -1sqrt(x + 12) (12 * qrst + x * qrst) + -3 = sqrt(x + 30) + -1sqrt(x + 12) (12qrst + qrstx) + -3 = sqrt(x + 30) + -1sqrt(x + 12) Reorder the terms: -3 + 12qrst + qrstx = sqrt(x + 30) + -1sqrt(x + 12) Reorder the terms: -3 + 12qrst + qrstx = qrst(30 + x) + -1sqrt(x + 12) -3 + 12qrst + qrstx = (30 * qrst + x * qrst) + -1sqrt(x + 12) -3 + 12qrst + qrstx = (30qrst + qrstx) + -1sqrt(x + 12) Reorder the terms: -3 + 12qrst + qrstx = 30qrst + qrstx + -1qrst(12 + x) -3 + 12qrst + qrstx = 30qrst + qrstx + (12 * -1qrst + x * -1qrst) -3 + 12qrst + qrstx = 30qrst + qrstx + (-12qrst + -1qrstx) Reorder the terms: -3 + 12qrst + qrstx = 30qrst + -12qrst + qrstx + -1qrstx Combine like terms: 30qrst + -12qrst = 18qrst -3 + 12qrst + qrstx = 18qrst + qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 -3 + 12qrst + qrstx = 18qrst + 0 -3 + 12qrst + qrstx = 18qrst Solving -3 + 12qrst + qrstx = 18qrst Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-18qrst' to each side of the equation. -3 + 12qrst + -18qrst + qrstx = 18qrst + -18qrst Combine like terms: 12qrst + -18qrst = -6qrst -3 + -6qrst + qrstx = 18qrst + -18qrst Combine like terms: 18qrst + -18qrst = 0 -3 + -6qrst + qrstx = 0 Add '3' to each side of the equation. -3 + -6qrst + 3 + qrstx = 0 + 3 Reorder the terms: -3 + 3 + -6qrst + qrstx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -6qrst + qrstx = 0 + 3 -6qrst + qrstx = 0 + 3 Combine like terms: 0 + 3 = 3 -6qrst + qrstx = 3 Reorder the terms: -3 + -6qrst + qrstx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -6qrst + qrstx = 0 The solution to this equation could not be determined.
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