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Simplifying 6 + 0.006X = (1 + -0.000125X)(7.498) Reorder the terms for easier multiplication: 6 + 0.006X = 7.498(1 + -0.000125X) 6 + 0.006X = (1 * 7.498 + -0.000125X * 7.498) 6 + 0.006X = (7.498 + -0.00093725X) Solving 6 + 0.006X = 7.498 + -0.00093725X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.00093725X' to each side of the equation. 6 + 0.006X + 0.00093725X = 7.498 + -0.00093725X + 0.00093725X Combine like terms: 0.006X + 0.00093725X = 0.00693725X 6 + 0.00693725X = 7.498 + -0.00093725X + 0.00093725X Combine like terms: -0.00093725X + 0.00093725X = 0.00000000 6 + 0.00693725X = 7.498 + 0.00000000 6 + 0.00693725X = 7.498 Add '-6' to each side of the equation. 6 + -6 + 0.00693725X = 7.498 + -6 Combine like terms: 6 + -6 = 0 0 + 0.00693725X = 7.498 + -6 0.00693725X = 7.498 + -6 Combine like terms: 7.498 + -6 = 1.498 0.00693725X = 1.498 Divide each side by '0.00693725'. X = 215.9357094 Simplifying X = 215.9357094
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