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Simplifying 0.70x + 0.05(2 + -1x) = 0.10(92) 0.70x + (2 * 0.05 + -1x * 0.05) = 0.10(92) 0.70x + (0.1 + -0.05x) = 0.10(92) Reorder the terms: 0.1 + 0.70x + -0.05x = 0.10(92) Combine like terms: 0.70x + -0.05x = 0.65x 0.1 + 0.65x = 0.10(92) Multiply 0.10 * 92 0.1 + 0.65x = 9.2 Solving 0.1 + 0.65x = 9.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.65x = 9.2 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.65x = 9.2 + -0.1 0.65x = 9.2 + -0.1 Combine like terms: 9.2 + -0.1 = 9.1 0.65x = 9.1 Divide each side by '0.65'. x = 14 Simplifying x = 14
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