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Simplifying 0.9x + 0.05(6 + -1x) = 0.1(156) 0.9x + (6 * 0.05 + -1x * 0.05) = 0.1(156) 0.9x + (0.3 + -0.05x) = 0.1(156) Reorder the terms: 0.3 + 0.9x + -0.05x = 0.1(156) Combine like terms: 0.9x + -0.05x = 0.85x 0.3 + 0.85x = 0.1(156) Multiply 0.1 * 156 0.3 + 0.85x = 15.6 Solving 0.3 + 0.85x = 15.6 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 + 0.85x = 15.6 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.85x = 15.6 + -0.3 0.85x = 15.6 + -0.3 Combine like terms: 15.6 + -0.3 = 15.3 0.85x = 15.3 Divide each side by '0.85'. x = 18 Simplifying x = 18
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