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Simplifying 9.08x + 3.57(7x + -3) = 12.03x + 0.5616 Reorder the terms: 9.08x + 3.57(-3 + 7x) = 12.03x + 0.5616 9.08x + (-3 * 3.57 + 7x * 3.57) = 12.03x + 0.5616 9.08x + (-10.71 + 24.99x) = 12.03x + 0.5616 Reorder the terms: -10.71 + 9.08x + 24.99x = 12.03x + 0.5616 Combine like terms: 9.08x + 24.99x = 34.07x -10.71 + 34.07x = 12.03x + 0.5616 Reorder the terms: -10.71 + 34.07x = 0.5616 + 12.03x Solving -10.71 + 34.07x = 0.5616 + 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. -10.71 + 34.07x + -12.03x = 0.5616 + 12.03x + -12.03x Combine like terms: 34.07x + -12.03x = 22.04x -10.71 + 22.04x = 0.5616 + 12.03x + -12.03x Combine like terms: 12.03x + -12.03x = 0.00 -10.71 + 22.04x = 0.5616 + 0.00 -10.71 + 22.04x = 0.5616 Add '10.71' to each side of the equation. -10.71 + 10.71 + 22.04x = 0.5616 + 10.71 Combine like terms: -10.71 + 10.71 = 0.00 0.00 + 22.04x = 0.5616 + 10.71 22.04x = 0.5616 + 10.71 Combine like terms: 0.5616 + 10.71 = 11.2716 22.04x = 11.2716 Divide each side by '22.04'. x = 0.511415608 Simplifying x = 0.511415608
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