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Simplifying 0.6x + 0.05(16 + -1x) = 0.1(107) 0.6x + (16 * 0.05 + -1x * 0.05) = 0.1(107) 0.6x + (0.8 + -0.05x) = 0.1(107) Reorder the terms: 0.8 + 0.6x + -0.05x = 0.1(107) Combine like terms: 0.6x + -0.05x = 0.55x 0.8 + 0.55x = 0.1(107) Multiply 0.1 * 107 0.8 + 0.55x = 10.7 Solving 0.8 + 0.55x = 10.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.55x = 10.7 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.55x = 10.7 + -0.8 0.55x = 10.7 + -0.8 Combine like terms: 10.7 + -0.8 = 9.9 0.55x = 9.9 Divide each side by '0.55'. x = 18 Simplifying x = 18
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