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Simplifying 0.30(84) + 0.30x + 0.25(78) + 0.15(72) = 82 Multiply 0.30 * 84 25.2 + 0.30x + 0.25(78) + 0.15(72) = 82 Multiply 0.25 * 78 25.2 + 0.30x + 19.5 + 0.15(72) = 82 Multiply 0.15 * 72 25.2 + 0.30x + 19.5 + 10.8 = 82 Reorder the terms: 25.2 + 19.5 + 10.8 + 0.30x = 82 Combine like terms: 25.2 + 19.5 = 44.7 44.7 + 10.8 + 0.30x = 82 Combine like terms: 44.7 + 10.8 = 55.5 55.5 + 0.30x = 82 Solving 55.5 + 0.30x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55.5' to each side of the equation. 55.5 + -55.5 + 0.30x = 82 + -55.5 Combine like terms: 55.5 + -55.5 = 0.0 0.0 + 0.30x = 82 + -55.5 0.30x = 82 + -55.5 Combine like terms: 82 + -55.5 = 26.5 0.30x = 26.5 Divide each side by '0.30'. x = 88.33333333 Simplifying x = 88.33333333
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