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Simplifying 0.09x + 0.1(100 + -1x) = 9.4 0.09x + (100 * 0.1 + -1x * 0.1) = 9.4 0.09x + (10 + -0.1x) = 9.4 Reorder the terms: 10 + 0.09x + -0.1x = 9.4 Combine like terms: 0.09x + -0.1x = -0.01x 10 + -0.01x = 9.4 Solving 10 + -0.01x = 9.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -0.01x = 9.4 + -10 Combine like terms: 10 + -10 = 0 0 + -0.01x = 9.4 + -10 -0.01x = 9.4 + -10 Combine like terms: 9.4 + -10 = -0.6 -0.01x = -0.6 Divide each side by '-0.01'. x = 60 Simplifying x = 60
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