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Simplifying 9.08x + 3.57(9x + -5) = 12.07x + 0.5616 Reorder the terms: 9.08x + 3.57(-5 + 9x) = 12.07x + 0.5616 9.08x + (-5 * 3.57 + 9x * 3.57) = 12.07x + 0.5616 9.08x + (-17.85 + 32.13x) = 12.07x + 0.5616 Reorder the terms: -17.85 + 9.08x + 32.13x = 12.07x + 0.5616 Combine like terms: 9.08x + 32.13x = 41.21x -17.85 + 41.21x = 12.07x + 0.5616 Reorder the terms: -17.85 + 41.21x = 0.5616 + 12.07x Solving -17.85 + 41.21x = 0.5616 + 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 + 41.21x + -12.07x = 0.5616 + 12.07x + -12.07x Combine like terms: 41.21x + -12.07x = 29.14x -17.85 + 29.14x = 0.5616 + 12.07x + -12.07x Combine like terms: 12.07x + -12.07x = 0.00 -17.85 + 29.14x = 0.5616 + 0.00 -17.85 + 29.14x = 0.5616 Add '17.85' to each side of the equation. -17.85 + 17.85 + 29.14x = 0.5616 + 17.85 Combine like terms: -17.85 + 17.85 = 0.00 0.00 + 29.14x = 0.5616 + 17.85 29.14x = 0.5616 + 17.85 Combine like terms: 0.5616 + 17.85 = 18.4116 29.14x = 18.4116 Divide each side by '29.14'. x = 0.6318325326 Simplifying x = 0.6318325326
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