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Simplifying 0.70x + 0.05(8 + -1x) = 0.10(69) 0.70x + (8 * 0.05 + -1x * 0.05) = 0.10(69) 0.70x + (0.4 + -0.05x) = 0.10(69) Reorder the terms: 0.4 + 0.70x + -0.05x = 0.10(69) Combine like terms: 0.70x + -0.05x = 0.65x 0.4 + 0.65x = 0.10(69) Multiply 0.10 * 69 0.4 + 0.65x = 6.9 Solving 0.4 + 0.65x = 6.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.65x = 6.9 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.65x = 6.9 + -0.4 0.65x = 6.9 + -0.4 Combine like terms: 6.9 + -0.4 = 6.5 0.65x = 6.5 Divide each side by '0.65'. x = 10 Simplifying x = 10
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