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Simplifying 2.5(3.1x + 4.9) = 75.9 + 0.87x Reorder the terms: 2.5(4.9 + 3.1x) = 75.9 + 0.87x (4.9 * 2.5 + 3.1x * 2.5) = 75.9 + 0.87x (12.25 + 7.75x) = 75.9 + 0.87x Solving 12.25 + 7.75x = 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. 12.25 + 7.75x + -0.87x = 75.9 + 0.87x + -0.87x Combine like terms: 7.75x + -0.87x = 6.88x 12.25 + 6.88x = 75.9 + 0.87x + -0.87x Combine like terms: 0.87x + -0.87x = 0.00 12.25 + 6.88x = 75.9 + 0.00 12.25 + 6.88x = 75.9 Add '-12.25' to each side of the equation. 12.25 + -12.25 + 6.88x = 75.9 + -12.25 Combine like terms: 12.25 + -12.25 = 0.00 0.00 + 6.88x = 75.9 + -12.25 6.88x = 75.9 + -12.25 Combine like terms: 75.9 + -12.25 = 63.65 6.88x = 63.65 Divide each side by '6.88'. x = 9.251453488 Simplifying x = 9.251453488
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