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Simplifying 28x + 0.45x + 30 = 40x + 0.25x Reorder the terms: 30 + 28x + 0.45x = 40x + 0.25x Combine like terms: 28x + 0.45x = 28.45x 30 + 28.45x = 40x + 0.25x Combine like terms: 40x + 0.25x = 40.25x 30 + 28.45x = 40.25x Solving 30 + 28.45x = 40.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40.25x' to each side of the equation. 30 + 28.45x + -40.25x = 40.25x + -40.25x Combine like terms: 28.45x + -40.25x = -11.8x 30 + -11.8x = 40.25x + -40.25x Combine like terms: 40.25x + -40.25x = 0.00 30 + -11.8x = 0.00 Add '-30' to each side of the equation. 30 + -30 + -11.8x = 0.00 + -30 Combine like terms: 30 + -30 = 0 0 + -11.8x = 0.00 + -30 -11.8x = 0.00 + -30 Combine like terms: 0.00 + -30 = -30 -11.8x = -30 Divide each side by '-11.8'. x = 2.542372881 Simplifying x = 2.542372881
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