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Simplifying 0.4x + -5 = 0.05x + 2 Reorder the terms: -5 + 0.4x = 0.05x + 2 Reorder the terms: -5 + 0.4x = 2 + 0.05x Solving -5 + 0.4x = 2 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -5 + 0.4x + -0.05x = 2 + 0.05x + -0.05x Combine like terms: 0.4x + -0.05x = 0.35x -5 + 0.35x = 2 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -5 + 0.35x = 2 + 0.00 -5 + 0.35x = 2 Add '5' to each side of the equation. -5 + 5 + 0.35x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 0.35x = 2 + 5 0.35x = 2 + 5 Combine like terms: 2 + 5 = 7 0.35x = 7 Divide each side by '0.35'. x = 20 Simplifying x = 20
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