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Simplifying (sqrt(61) * x) + 5x + 12 = 0 Reorder the terms for easier multiplication: (61qrst * x) + 5x + 12 = 0 Multiply qrst * x (61qrstx) + 5x + 12 = 0 Reorder the terms: 12 + (61qrstx) + 5x = 0 Solving 12 + (61qrstx) + 5x = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + (61qrstx) + -12 + 5x = 0 + -12 Reorder the terms: 12 + -12 + (61qrstx) + 5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + (61qrstx) + 5x = 0 + -12 (61qrstx) + 5x = 0 + -12 Combine like terms: 0 + -12 = -12 (61qrstx) + 5x = -12 Add '-5x' to each side of the equation. (61qrstx) + 5x + -5x = -12 + -5x Combine like terms: 5x + -5x = 0 (61qrstx) + 0 = -12 + -5x (61qrstx) = -12 + -5x Divide each side by '(61rstx)'. q = -0.1967213115r-1s-1t-1x-1 + -0.08196721311r-1s-1t-1 Simplifying q = -0.1967213115r-1s-1t-1x-1 + -0.08196721311r-1s-1t-1 Reorder the terms: q = -0.08196721311r-1s-1t-1 + -0.1967213115r-1s-1t-1x-1
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