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Simplifying 0.05x + 0.06(200 + -1x) = 11.6 0.05x + (200 * 0.06 + -1x * 0.06) = 11.6 0.05x + (12 + -0.06x) = 11.6 Reorder the terms: 12 + 0.05x + -0.06x = 11.6 Combine like terms: 0.05x + -0.06x = -0.01x 12 + -0.01x = 11.6 Solving 12 + -0.01x = 11.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -0.01x = 11.6 + -12 Combine like terms: 12 + -12 = 0 0 + -0.01x = 11.6 + -12 -0.01x = 11.6 + -12 Combine like terms: 11.6 + -12 = -0.4 -0.01x = -0.4 Divide each side by '-0.01'. x = 40 Simplifying x = 40
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