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Simplifying 0.09x + 0.12(500 + -1x) = 54 0.09x + (500 * 0.12 + -1x * 0.12) = 54 0.09x + (60 + -0.12x) = 54 Reorder the terms: 60 + 0.09x + -0.12x = 54 Combine like terms: 0.09x + -0.12x = -0.03x 60 + -0.03x = 54 Solving 60 + -0.03x = 54 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 + -0.03x = 54 + -60 Combine like terms: 60 + -60 = 0 0 + -0.03x = 54 + -60 -0.03x = 54 + -60 Combine like terms: 54 + -60 = -6 -0.03x = -6 Divide each side by '-0.03'. x = 200 Simplifying x = 200
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