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Simplifying 40 + 0.25x = 25 + 0.45x Solving 40 + 0.25x = 25 + 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 40 + 0.25x + -0.45x = 25 + 0.45x + -0.45x Combine like terms: 0.25x + -0.45x = -0.2x 40 + -0.2x = 25 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 40 + -0.2x = 25 + 0.00 40 + -0.2x = 25 Add '-40' to each side of the equation. 40 + -40 + -0.2x = 25 + -40 Combine like terms: 40 + -40 = 0 0 + -0.2x = 25 + -40 -0.2x = 25 + -40 Combine like terms: 25 + -40 = -15 -0.2x = -15 Divide each side by '-0.2'. x = 75 Simplifying x = 75
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