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Simplifying 0.3x + 0.1(100 + -1x) = 180 0.3x + (100 * 0.1 + -1x * 0.1) = 180 0.3x + (10 + -0.1x) = 180 Reorder the terms: 10 + 0.3x + -0.1x = 180 Combine like terms: 0.3x + -0.1x = 0.2x 10 + 0.2x = 180 Solving 10 + 0.2x = 180 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 + 0.2x = 180 + -10 Combine like terms: 10 + -10 = 0 0 + 0.2x = 180 + -10 0.2x = 180 + -10 Combine like terms: 180 + -10 = 170 0.2x = 170 Divide each side by '0.2'. x = 850 Simplifying x = 850
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