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Simplifying 2.4(3.1x + 4.9) = 75.9 + 0.85x Reorder the terms: 2.4(4.9 + 3.1x) = 75.9 + 0.85x (4.9 * 2.4 + 3.1x * 2.4) = 75.9 + 0.85x (11.76 + 7.44x) = 75.9 + 0.85x Solving 11.76 + 7.44x = 75.9 + 0.85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.85x' to each side of the equation. 11.76 + 7.44x + -0.85x = 75.9 + 0.85x + -0.85x Combine like terms: 7.44x + -0.85x = 6.59x 11.76 + 6.59x = 75.9 + 0.85x + -0.85x Combine like terms: 0.85x + -0.85x = 0.00 11.76 + 6.59x = 75.9 + 0.00 11.76 + 6.59x = 75.9 Add '-11.76' to each side of the equation. 11.76 + -11.76 + 6.59x = 75.9 + -11.76 Combine like terms: 11.76 + -11.76 = 0.00 0.00 + 6.59x = 75.9 + -11.76 6.59x = 75.9 + -11.76 Combine like terms: 75.9 + -11.76 = 64.14 6.59x = 64.14 Divide each side by '6.59'. x = 9.73292868 Simplifying x = 9.73292868
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