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Simplifying x(0.07) + (8000 + -1x)(0.04) = 450 Reorder the terms for easier multiplication: 0.07x + (8000 + -1x)(0.04) = 450 Reorder the terms for easier multiplication: 0.07x + 0.04(8000 + -1x) = 450 0.07x + (8000 * 0.04 + -1x * 0.04) = 450 0.07x + (320 + -0.04x) = 450 Reorder the terms: 320 + 0.07x + -0.04x = 450 Combine like terms: 0.07x + -0.04x = 0.03x 320 + 0.03x = 450 Solving 320 + 0.03x = 450 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-320' to each side of the equation. 320 + -320 + 0.03x = 450 + -320 Combine like terms: 320 + -320 = 0 0 + 0.03x = 450 + -320 0.03x = 450 + -320 Combine like terms: 450 + -320 = 130 0.03x = 130 Divide each side by '0.03'. x = 4333.333333 Simplifying x = 4333.333333
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