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Simplifying 4(0.12x + sqrt(5)) = sqrt(8) * x + 1 Reorder the terms for easier multiplication: 4(0.12x + 5qrst) = sqrt(8) * x + 1 Reorder the terms: 4(5qrst + 0.12x) = sqrt(8) * x + 1 (5qrst * 4 + 0.12x * 4) = sqrt(8) * x + 1 (20qrst + 0.48x) = sqrt(8) * x + 1 Reorder the terms for easier multiplication: 20qrst + 0.48x = 8qrst * x + 1 Multiply qrst * x 20qrst + 0.48x = 8qrstx + 1 Reorder the terms: 20qrst + 0.48x = 1 + 8qrstx Solving 20qrst + 0.48x = 1 + 8qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8qrstx' to each side of the equation. 20qrst + -8qrstx + 0.48x = 1 + 8qrstx + -8qrstx Combine like terms: 8qrstx + -8qrstx = 0 20qrst + -8qrstx + 0.48x = 1 + 0 20qrst + -8qrstx + 0.48x = 1 Add '-0.48x' to each side of the equation. 20qrst + -8qrstx + 0.48x + -0.48x = 1 + -0.48x Combine like terms: 0.48x + -0.48x = 0.00 20qrst + -8qrstx + 0.00 = 1 + -0.48x 20qrst + -8qrstx = 1 + -0.48x Reorder the terms: -1 + 20qrst + -8qrstx + 0.48x = 1 + -0.48x + -1 + 0.48x Reorder the terms: -1 + 20qrst + -8qrstx + 0.48x = 1 + -1 + -0.48x + 0.48x Combine like terms: 1 + -1 = 0 -1 + 20qrst + -8qrstx + 0.48x = 0 + -0.48x + 0.48x -1 + 20qrst + -8qrstx + 0.48x = -0.48x + 0.48x Combine like terms: -0.48x + 0.48x = 0.00 -1 + 20qrst + -8qrstx + 0.48x = 0.00 The solution to this equation could not be determined.
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