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Simplifying x(0.07) + (8000 + -1x)(0.05) = 450 Reorder the terms for easier multiplication: 0.07x + (8000 + -1x)(0.05) = 450 Reorder the terms for easier multiplication: 0.07x + 0.05(8000 + -1x) = 450 0.07x + (8000 * 0.05 + -1x * 0.05) = 450 0.07x + (400 + -0.05x) = 450 Reorder the terms: 400 + 0.07x + -0.05x = 450 Combine like terms: 0.07x + -0.05x = 0.02x 400 + 0.02x = 450 Solving 400 + 0.02x = 450 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + 0.02x = 450 + -400 Combine like terms: 400 + -400 = 0 0 + 0.02x = 450 + -400 0.02x = 450 + -400 Combine like terms: 450 + -400 = 50 0.02x = 50 Divide each side by '0.02'. x = 2500 Simplifying x = 2500
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