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Simplifying 9.08x + 3.57(8x + -5) = 12.07x + 0.5612 Reorder the terms: 9.08x + 3.57(-5 + 8x) = 12.07x + 0.5612 9.08x + (-5 * 3.57 + 8x * 3.57) = 12.07x + 0.5612 9.08x + (-17.85 + 28.56x) = 12.07x + 0.5612 Reorder the terms: -17.85 + 9.08x + 28.56x = 12.07x + 0.5612 Combine like terms: 9.08x + 28.56x = 37.64x -17.85 + 37.64x = 12.07x + 0.5612 Reorder the terms: -17.85 + 37.64x = 0.5612 + 12.07x Solving -17.85 + 37.64x = 0.5612 + 12.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.07x' to each side of the equation. -17.85 + 37.64x + -12.07x = 0.5612 + 12.07x + -12.07x Combine like terms: 37.64x + -12.07x = 25.57x -17.85 + 25.57x = 0.5612 + 12.07x + -12.07x Combine like terms: 12.07x + -12.07x = 0.00 -17.85 + 25.57x = 0.5612 + 0.00 -17.85 + 25.57x = 0.5612 Add '17.85' to each side of the equation. -17.85 + 17.85 + 25.57x = 0.5612 + 17.85 Combine like terms: -17.85 + 17.85 = 0.00 0.00 + 25.57x = 0.5612 + 17.85 25.57x = 0.5612 + 17.85 Combine like terms: 0.5612 + 17.85 = 18.4112 25.57x = 18.4112 Divide each side by '25.57'. x = 0.7200312867 Simplifying x = 0.7200312867
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