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Simplifying 9.06x + 3.59(8x + -5) = 12.07x + 0.5612 Reorder the terms: 9.06x + 3.59(-5 + 8x) = 12.07x + 0.5612 9.06x + (-5 * 3.59 + 8x * 3.59) = 12.07x + 0.5612 9.06x + (-17.95 + 28.72x) = 12.07x + 0.5612 Reorder the terms: -17.95 + 9.06x + 28.72x = 12.07x + 0.5612 Combine like terms: 9.06x + 28.72x = 37.78x -17.95 + 37.78x = 12.07x + 0.5612 Reorder the terms: -17.95 + 37.78x = 0.5612 + 12.07x Solving -17.95 + 37.78x = 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. -17.95 + 37.78x + -12.07x = 0.5612 + 12.07x + -12.07x Combine like terms: 37.78x + -12.07x = 25.71x -17.95 + 25.71x = 0.5612 + 12.07x + -12.07x Combine like terms: 12.07x + -12.07x = 0.00 -17.95 + 25.71x = 0.5612 + 0.00 -17.95 + 25.71x = 0.5612 Add '17.95' to each side of the equation. -17.95 + 17.95 + 25.71x = 0.5612 + 17.95 Combine like terms: -17.95 + 17.95 = 0.00 0.00 + 25.71x = 0.5612 + 17.95 25.71x = 0.5612 + 17.95 Combine like terms: 0.5612 + 17.95 = 18.5112 25.71x = 18.5112 Divide each side by '25.71'. x = 0.72 Simplifying x = 0.72
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