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Simplifying 0.25x + 0.45 = 25x + 40 Reorder the terms: 0.45 + 0.25x = 25x + 40 Reorder the terms: 0.45 + 0.25x = 40 + 25x Solving 0.45 + 0.25x = 40 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 0.45 + 0.25x + -25x = 40 + 25x + -25x Combine like terms: 0.25x + -25x = -24.75x 0.45 + -24.75x = 40 + 25x + -25x Combine like terms: 25x + -25x = 0 0.45 + -24.75x = 40 + 0 0.45 + -24.75x = 40 Add '-0.45' to each side of the equation. 0.45 + -0.45 + -24.75x = 40 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + -24.75x = 40 + -0.45 -24.75x = 40 + -0.45 Combine like terms: 40 + -0.45 = 39.55 -24.75x = 39.55 Divide each side by '-24.75'. x = -1.597979798 Simplifying x = -1.597979798
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