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Simplifying 9.02x + 3.55(7x + -3) = 12.05x + 0.5612 Reorder the terms: 9.02x + 3.55(-3 + 7x) = 12.05x + 0.5612 9.02x + (-3 * 3.55 + 7x * 3.55) = 12.05x + 0.5612 9.02x + (-10.65 + 24.85x) = 12.05x + 0.5612 Reorder the terms: -10.65 + 9.02x + 24.85x = 12.05x + 0.5612 Combine like terms: 9.02x + 24.85x = 33.87x -10.65 + 33.87x = 12.05x + 0.5612 Reorder the terms: -10.65 + 33.87x = 0.5612 + 12.05x Solving -10.65 + 33.87x = 0.5612 + 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. -10.65 + 33.87x + -12.05x = 0.5612 + 12.05x + -12.05x Combine like terms: 33.87x + -12.05x = 21.82x -10.65 + 21.82x = 0.5612 + 12.05x + -12.05x Combine like terms: 12.05x + -12.05x = 0.00 -10.65 + 21.82x = 0.5612 + 0.00 -10.65 + 21.82x = 0.5612 Add '10.65' to each side of the equation. -10.65 + 10.65 + 21.82x = 0.5612 + 10.65 Combine like terms: -10.65 + 10.65 = 0.00 0.00 + 21.82x = 0.5612 + 10.65 21.82x = 0.5612 + 10.65 Combine like terms: 0.5612 + 10.65 = 11.2112 21.82x = 11.2112 Divide each side by '21.82'. x = 0.5138038497 Simplifying x = 0.5138038497
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