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Simplifying sqrt(3x + -7) + sqrt(4x + 7) + 5 = 0 Reorder the terms: qrst(-7 + 3x) + sqrt(4x + 7) + 5 = 0 (-7 * qrst + 3x * qrst) + sqrt(4x + 7) + 5 = 0 (-7qrst + 3qrstx) + sqrt(4x + 7) + 5 = 0 Reorder the terms: -7qrst + 3qrstx + qrst(7 + 4x) + 5 = 0 -7qrst + 3qrstx + (7 * qrst + 4x * qrst) + 5 = 0 -7qrst + 3qrstx + (7qrst + 4qrstx) + 5 = 0 Reorder the terms: 5 + -7qrst + 7qrst + 3qrstx + 4qrstx = 0 Combine like terms: -7qrst + 7qrst = 0 5 + 0 + 3qrstx + 4qrstx = 0 5 + 3qrstx + 4qrstx = 0 Combine like terms: 3qrstx + 4qrstx = 7qrstx 5 + 7qrstx = 0 Solving 5 + 7qrstx = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7qrstx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7qrstx = 0 + -5 7qrstx = 0 + -5 Combine like terms: 0 + -5 = -5 7qrstx = -5 Divide each side by '7rstx'. q = -0.7142857143r-1s-1t-1x-1 Simplifying q = -0.7142857143r-1s-1t-1x-1
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