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Simplifying 0.1(7 + X) + 0.4X = 8.70 (7 * 0.1 + X * 0.1) + 0.4X = 8.70 (0.7 + 0.1X) + 0.4X = 8.70 Combine like terms: 0.1X + 0.4X = 0.5X 0.7 + 0.5X = 8.70 Solving 0.7 + 0.5X = 8.70 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.5X = 8.70 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.5X = 8.70 + -0.7 0.5X = 8.70 + -0.7 Combine like terms: 8.70 + -0.7 = 8 0.5X = 8 Divide each side by '0.5'. X = 16 Simplifying X = 16
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