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Simplifying (409 + x * 0.214) * 1.1 = 1003 Reorder the terms for easier multiplication: (409 + 0.214x) * 1.1 = 1003 Reorder the terms for easier multiplication: 1.1(409 + 0.214x) = 1003 (409 * 1.1 + 0.214x * 1.1) = 1003 (449.9 + 0.2354x) = 1003 Solving 449.9 + 0.2354x = 1003 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-449.9' to each side of the equation. 449.9 + -449.9 + 0.2354x = 1003 + -449.9 Combine like terms: 449.9 + -449.9 = 0.0 0.0 + 0.2354x = 1003 + -449.9 0.2354x = 1003 + -449.9 Combine like terms: 1003 + -449.9 = 553.1 0.2354x = 553.1 Divide each side by '0.2354'. x = 2349.617672 Simplifying x = 2349.617672
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