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Simplifying 0.60x + 0.05(6 + -1x) = 0.10(91) 0.60x + (6 * 0.05 + -1x * 0.05) = 0.10(91) 0.60x + (0.3 + -0.05x) = 0.10(91) Reorder the terms: 0.3 + 0.60x + -0.05x = 0.10(91) Combine like terms: 0.60x + -0.05x = 0.55x 0.3 + 0.55x = 0.10(91) Multiply 0.10 * 91 0.3 + 0.55x = 9.1 Solving 0.3 + 0.55x = 9.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.55x = 9.1 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.55x = 9.1 + -0.3 0.55x = 9.1 + -0.3 Combine like terms: 9.1 + -0.3 = 8.8 0.55x = 8.8 Divide each side by '0.55'. x = 16 Simplifying x = 16
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