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Simplifying 6.2 + 0.008X = (1 + -0.00025X)(7.798) Reorder the terms for easier multiplication: 6.2 + 0.008X = 7.798(1 + -0.00025X) 6.2 + 0.008X = (1 * 7.798 + -0.00025X * 7.798) 6.2 + 0.008X = (7.798 + -0.0019495X) Solving 6.2 + 0.008X = 7.798 + -0.0019495X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.0019495X' to each side of the equation. 6.2 + 0.008X + 0.0019495X = 7.798 + -0.0019495X + 0.0019495X Combine like terms: 0.008X + 0.0019495X = 0.0099495X 6.2 + 0.0099495X = 7.798 + -0.0019495X + 0.0019495X Combine like terms: -0.0019495X + 0.0019495X = 0.0000000 6.2 + 0.0099495X = 7.798 + 0.0000000 6.2 + 0.0099495X = 7.798 Add '-6.2' to each side of the equation. 6.2 + -6.2 + 0.0099495X = 7.798 + -6.2 Combine like terms: 6.2 + -6.2 = 0.0 0.0 + 0.0099495X = 7.798 + -6.2 0.0099495X = 7.798 + -6.2 Combine like terms: 7.798 + -6.2 = 1.598 0.0099495X = 1.598 Divide each side by '0.0099495'. X = 160.611086 Simplifying X = 160.611086
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