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Simplifying 0.60x + 0.05(2 + -1x) = 0.10(67) 0.60x + (2 * 0.05 + -1x * 0.05) = 0.10(67) 0.60x + (0.1 + -0.05x) = 0.10(67) Reorder the terms: 0.1 + 0.60x + -0.05x = 0.10(67) Combine like terms: 0.60x + -0.05x = 0.55x 0.1 + 0.55x = 0.10(67) Multiply 0.10 * 67 0.1 + 0.55x = 6.7 Solving 0.1 + 0.55x = 6.7 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 + 0.55x = 6.7 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.55x = 6.7 + -0.1 0.55x = 6.7 + -0.1 Combine like terms: 6.7 + -0.1 = 6.6 0.55x = 6.6 Divide each side by '0.55'. x = 12 Simplifying x = 12
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