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Simplifying x + 0.10(600 + -1x) = 0.55(600) x + (600 * 0.10 + -1x * 0.10) = 0.55(600) x + (60 + -0.1x) = 0.55(600) Reorder the terms: 60 + x + -0.1x = 0.55(600) Combine like terms: x + -0.1x = 0.9x 60 + 0.9x = 0.55(600) Multiply 0.55 * 600 60 + 0.9x = 330 Solving 60 + 0.9x = 330 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 0.9x = 330 + -60 Combine like terms: 60 + -60 = 0 0 + 0.9x = 330 + -60 0.9x = 330 + -60 Combine like terms: 330 + -60 = 270 0.9x = 270 Divide each side by '0.9'. x = 300 Simplifying x = 300
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