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Simplifying 2.4(3.1x + 49) = 75.9 + 0.87x Reorder the terms: 2.4(49 + 3.1x) = 75.9 + 0.87x (49 * 2.4 + 3.1x * 2.4) = 75.9 + 0.87x (117.6 + 7.44x) = 75.9 + 0.87x Solving 117.6 + 7.44x = 75.9 + 0.87x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.87x' to each side of the equation. 117.6 + 7.44x + -0.87x = 75.9 + 0.87x + -0.87x Combine like terms: 7.44x + -0.87x = 6.57x 117.6 + 6.57x = 75.9 + 0.87x + -0.87x Combine like terms: 0.87x + -0.87x = 0.00 117.6 + 6.57x = 75.9 + 0.00 117.6 + 6.57x = 75.9 Add '-117.6' to each side of the equation. 117.6 + -117.6 + 6.57x = 75.9 + -117.6 Combine like terms: 117.6 + -117.6 = 0.0 0.0 + 6.57x = 75.9 + -117.6 6.57x = 75.9 + -117.6 Combine like terms: 75.9 + -117.6 = -41.7 6.57x = -41.7 Divide each side by '6.57'. x = -6.347031963 Simplifying x = -6.347031963
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