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Simplifying 2.4(3.1x + 48) = 75.9 + 0.87x Reorder the terms: 2.4(48 + 3.1x) = 75.9 + 0.87x (48 * 2.4 + 3.1x * 2.4) = 75.9 + 0.87x (115.2 + 7.44x) = 75.9 + 0.87x Solving 115.2 + 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. 115.2 + 7.44x + -0.87x = 75.9 + 0.87x + -0.87x Combine like terms: 7.44x + -0.87x = 6.57x 115.2 + 6.57x = 75.9 + 0.87x + -0.87x Combine like terms: 0.87x + -0.87x = 0.00 115.2 + 6.57x = 75.9 + 0.00 115.2 + 6.57x = 75.9 Add '-115.2' to each side of the equation. 115.2 + -115.2 + 6.57x = 75.9 + -115.2 Combine like terms: 115.2 + -115.2 = 0.0 0.0 + 6.57x = 75.9 + -115.2 6.57x = 75.9 + -115.2 Combine like terms: 75.9 + -115.2 = -39.3 6.57x = -39.3 Divide each side by '6.57'. x = -5.98173516 Simplifying x = -5.98173516
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