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Simplifying 40x + 0.25 = 5x + 0.45 Reorder the terms: 0.25 + 40x = 5x + 0.45 Reorder the terms: 0.25 + 40x = 0.45 + 5x Solving 0.25 + 40x = 0.45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.25 + 40x + -5x = 0.45 + 5x + -5x Combine like terms: 40x + -5x = 35x 0.25 + 35x = 0.45 + 5x + -5x Combine like terms: 5x + -5x = 0 0.25 + 35x = 0.45 + 0 0.25 + 35x = 0.45 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 35x = 0.45 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 35x = 0.45 + -0.25 35x = 0.45 + -0.25 Combine like terms: 0.45 + -0.25 = 0.2 35x = 0.2 Divide each side by '35'. x = 0.005714285714 Simplifying x = 0.005714285714
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