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Simplifying 0.45x + 0.20(260 + -1x) = 65.75 0.45x + (260 * 0.20 + -1x * 0.20) = 65.75 0.45x + (52 + -0.2x) = 65.75 Reorder the terms: 52 + 0.45x + -0.2x = 65.75 Combine like terms: 0.45x + -0.2x = 0.25x 52 + 0.25x = 65.75 Solving 52 + 0.25x = 65.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 0.25x = 65.75 + -52 Combine like terms: 52 + -52 = 0 0 + 0.25x = 65.75 + -52 0.25x = 65.75 + -52 Combine like terms: 65.75 + -52 = 13.75 0.25x = 13.75 Divide each side by '0.25'. x = 55 Simplifying x = 55
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