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Simplifying 0.4x + -5 = 0.25x + 0.1x Reorder the terms: -5 + 0.4x = 0.25x + 0.1x Combine like terms: 0.25x + 0.1x = 0.35x -5 + 0.4x = 0.35x Solving -5 + 0.4x = 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. -5 + 0.4x + -0.35x = 0.35x + -0.35x Combine like terms: 0.4x + -0.35x = 0.05x -5 + 0.05x = 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 -5 + 0.05x = 0.00 Add '5' to each side of the equation. -5 + 5 + 0.05x = 0.00 + 5 Combine like terms: -5 + 5 = 0 0 + 0.05x = 0.00 + 5 0.05x = 0.00 + 5 Combine like terms: 0.00 + 5 = 5 0.05x = 5 Divide each side by '0.05'. x = 100 Simplifying x = 100
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