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Simplifying 0.70(65) + 0.70(73) + 0.70x + 0.10(85) + 0.20(40) = 70 Multiply 0.70 * 65 45.5 + 0.70(73) + 0.70x + 0.10(85) + 0.20(40) = 70 Multiply 0.70 * 73 45.5 + 51.1 + 0.70x + 0.10(85) + 0.20(40) = 70 Multiply 0.10 * 85 45.5 + 51.1 + 0.70x + 8.5 + 0.20(40) = 70 Multiply 0.20 * 40 45.5 + 51.1 + 0.70x + 8.5 + 8 = 70 Reorder the terms: 45.5 + 51.1 + 8.5 + 8 + 0.70x = 70 Combine like terms: 45.5 + 51.1 = 96.6 96.6 + 8.5 + 8 + 0.70x = 70 Combine like terms: 96.6 + 8.5 = 105.1 105.1 + 8 + 0.70x = 70 Combine like terms: 105.1 + 8 = 113.1 113.1 + 0.70x = 70 Solving 113.1 + 0.70x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-113.1' to each side of the equation. 113.1 + -113.1 + 0.70x = 70 + -113.1 Combine like terms: 113.1 + -113.1 = 0.0 0.0 + 0.70x = 70 + -113.1 0.70x = 70 + -113.1 Combine like terms: 70 + -113.1 = -43.1 0.70x = -43.1 Divide each side by '0.70'. x = -61.57142857 Simplifying x = -61.57142857
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