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Simplifying 0.40x + 0.2 + -0.05x = 0.9 Reorder the terms: 0.2 + 0.40x + -0.05x = 0.9 Combine like terms: 0.40x + -0.05x = 0.35x 0.2 + 0.35x = 0.9 Solving 0.2 + 0.35x = 0.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.35x = 0.9 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.35x = 0.9 + -0.2 0.35x = 0.9 + -0.2 Combine like terms: 0.9 + -0.2 = 0.7 0.35x = 0.7 Divide each side by '0.35'. x = 2 Simplifying x = 2
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