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