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Simplifying 9.08x + 3.59(8x + -3) = 12.05x + 0.5616 Reorder the terms: 9.08x + 3.59(-3 + 8x) = 12.05x + 0.5616 9.08x + (-3 * 3.59 + 8x * 3.59) = 12.05x + 0.5616 9.08x + (-10.77 + 28.72x) = 12.05x + 0.5616 Reorder the terms: -10.77 + 9.08x + 28.72x = 12.05x + 0.5616 Combine like terms: 9.08x + 28.72x = 37.8x -10.77 + 37.8x = 12.05x + 0.5616 Reorder the terms: -10.77 + 37.8x = 0.5616 + 12.05x Solving -10.77 + 37.8x = 0.5616 + 12.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.05x' to each side of the equation. -10.77 + 37.8x + -12.05x = 0.5616 + 12.05x + -12.05x Combine like terms: 37.8x + -12.05x = 25.75x -10.77 + 25.75x = 0.5616 + 12.05x + -12.05x Combine like terms: 12.05x + -12.05x = 0.00 -10.77 + 25.75x = 0.5616 + 0.00 -10.77 + 25.75x = 0.5616 Add '10.77' to each side of the equation. -10.77 + 10.77 + 25.75x = 0.5616 + 10.77 Combine like terms: -10.77 + 10.77 = 0.00 0.00 + 25.75x = 0.5616 + 10.77 25.75x = 0.5616 + 10.77 Combine like terms: 0.5616 + 10.77 = 11.3316 25.75x = 11.3316 Divide each side by '25.75'. x = 0.4400621359 Simplifying x = 0.4400621359
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