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Simplifying x(0.07) + (7000 + -1x)(0.04) = 450 Reorder the terms for easier multiplication: 0.07x + (7000 + -1x)(0.04) = 450 Reorder the terms for easier multiplication: 0.07x + 0.04(7000 + -1x) = 450 0.07x + (7000 * 0.04 + -1x * 0.04) = 450 0.07x + (280 + -0.04x) = 450 Reorder the terms: 280 + 0.07x + -0.04x = 450 Combine like terms: 0.07x + -0.04x = 0.03x 280 + 0.03x = 450 Solving 280 + 0.03x = 450 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-280' to each side of the equation. 280 + -280 + 0.03x = 450 + -280 Combine like terms: 280 + -280 = 0 0 + 0.03x = 450 + -280 0.03x = 450 + -280 Combine like terms: 450 + -280 = 170 0.03x = 170 Divide each side by '0.03'. x = 5666.666667 Simplifying x = 5666.666667
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