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Simplifying 0.65x + 0.05(2 + -1x) = 0.10(73) 0.65x + (2 * 0.05 + -1x * 0.05) = 0.10(73) 0.65x + (0.1 + -0.05x) = 0.10(73) Reorder the terms: 0.1 + 0.65x + -0.05x = 0.10(73) Combine like terms: 0.65x + -0.05x = 0.6x 0.1 + 0.6x = 0.10(73) Multiply 0.10 * 73 0.1 + 0.6x = 7.3 Solving 0.1 + 0.6x = 7.3 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 + 0.6x = 7.3 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.6x = 7.3 + -0.1 0.6x = 7.3 + -0.1 Combine like terms: 7.3 + -0.1 = 7.2 0.6x = 7.2 Divide each side by '0.6'. x = 12 Simplifying x = 12
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