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Simplifying 0.70x + 0.05(4 + -1x) = 0.10(41) 0.70x + (4 * 0.05 + -1x * 0.05) = 0.10(41) 0.70x + (0.2 + -0.05x) = 0.10(41) Reorder the terms: 0.2 + 0.70x + -0.05x = 0.10(41) Combine like terms: 0.70x + -0.05x = 0.65x 0.2 + 0.65x = 0.10(41) Multiply 0.10 * 41 0.2 + 0.65x = 4.1 Solving 0.2 + 0.65x = 4.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.65x = 4.1 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.65x = 4.1 + -0.2 0.65x = 4.1 + -0.2 Combine like terms: 4.1 + -0.2 = 3.9 0.65x = 3.9 Divide each side by '0.65'. x = 6 Simplifying x = 6
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