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Simplifying 9.04x + 3.59(8x + -5) = 12.03x + 0.5614 Reorder the terms: 9.04x + 3.59(-5 + 8x) = 12.03x + 0.5614 9.04x + (-5 * 3.59 + 8x * 3.59) = 12.03x + 0.5614 9.04x + (-17.95 + 28.72x) = 12.03x + 0.5614 Reorder the terms: -17.95 + 9.04x + 28.72x = 12.03x + 0.5614 Combine like terms: 9.04x + 28.72x = 37.76x -17.95 + 37.76x = 12.03x + 0.5614 Reorder the terms: -17.95 + 37.76x = 0.5614 + 12.03x Solving -17.95 + 37.76x = 0.5614 + 12.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.03x' to each side of the equation. -17.95 + 37.76x + -12.03x = 0.5614 + 12.03x + -12.03x Combine like terms: 37.76x + -12.03x = 25.73x -17.95 + 25.73x = 0.5614 + 12.03x + -12.03x Combine like terms: 12.03x + -12.03x = 0.00 -17.95 + 25.73x = 0.5614 + 0.00 -17.95 + 25.73x = 0.5614 Add '17.95' to each side of the equation. -17.95 + 17.95 + 25.73x = 0.5614 + 17.95 Combine like terms: -17.95 + 17.95 = 0.00 0.00 + 25.73x = 0.5614 + 17.95 25.73x = 0.5614 + 17.95 Combine like terms: 0.5614 + 17.95 = 18.5114 25.73x = 18.5114 Divide each side by '25.73'. x = 0.719448115 Simplifying x = 0.719448115
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