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Simplifying 0.9x + 0.05(10 + -1x) = 0.1(124) 0.9x + (10 * 0.05 + -1x * 0.05) = 0.1(124) 0.9x + (0.5 + -0.05x) = 0.1(124) Reorder the terms: 0.5 + 0.9x + -0.05x = 0.1(124) Combine like terms: 0.9x + -0.05x = 0.85x 0.5 + 0.85x = 0.1(124) Multiply 0.1 * 124 0.5 + 0.85x = 12.4 Solving 0.5 + 0.85x = 12.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.85x = 12.4 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.85x = 12.4 + -0.5 0.85x = 12.4 + -0.5 Combine like terms: 12.4 + -0.5 = 11.9 0.85x = 11.9 Divide each side by '0.85'. x = 14 Simplifying x = 14
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