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Simplifying 0.25x + -0.4 = 1 + 0.05x Reorder the terms: -0.4 + 0.25x = 1 + 0.05x Solving -0.4 + 0.25x = 1 + 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. -0.4 + 0.25x + -0.05x = 1 + 0.05x + -0.05x Combine like terms: 0.25x + -0.05x = 0.2x -0.4 + 0.2x = 1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.4 + 0.2x = 1 + 0.00 -0.4 + 0.2x = 1 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.2x = 1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.2x = 1 + 0.4 0.2x = 1 + 0.4 Combine like terms: 1 + 0.4 = 1.4 0.2x = 1.4 Divide each side by '0.2'. x = 7 Simplifying x = 7
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