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Simplifying 0.70x + 0.25(45 + -1x) = 0.60(45) 0.70x + (45 * 0.25 + -1x * 0.25) = 0.60(45) 0.70x + (11.25 + -0.25x) = 0.60(45) Reorder the terms: 11.25 + 0.70x + -0.25x = 0.60(45) Combine like terms: 0.70x + -0.25x = 0.45x 11.25 + 0.45x = 0.60(45) Multiply 0.60 * 45 11.25 + 0.45x = 27 Solving 11.25 + 0.45x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.25' to each side of the equation. 11.25 + -11.25 + 0.45x = 27 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 0.00 + 0.45x = 27 + -11.25 0.45x = 27 + -11.25 Combine like terms: 27 + -11.25 = 15.75 0.45x = 15.75 Divide each side by '0.45'. x = 35 Simplifying x = 35
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