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Simplifying 0.90x + 0.15(450 + -1x) = 0.80(450) 0.90x + (450 * 0.15 + -1x * 0.15) = 0.80(450) 0.90x + (67.5 + -0.15x) = 0.80(450) Reorder the terms: 67.5 + 0.90x + -0.15x = 0.80(450) Combine like terms: 0.90x + -0.15x = 0.75x 67.5 + 0.75x = 0.80(450) Multiply 0.80 * 450 67.5 + 0.75x = 360 Solving 67.5 + 0.75x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-67.5' to each side of the equation. 67.5 + -67.5 + 0.75x = 360 + -67.5 Combine like terms: 67.5 + -67.5 = 0.0 0.0 + 0.75x = 360 + -67.5 0.75x = 360 + -67.5 Combine like terms: 360 + -67.5 = 292.5 0.75x = 292.5 Divide each side by '0.75'. x = 390 Simplifying x = 390
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