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Simplifying x(0.11)(1) + (165000 + -1x)(0.09)(1) = 16550 Reorder the terms for easier multiplication: 0.11 * 1x + (165000 + -1x)(0.09)(1) = 16550 Multiply 0.11 * 1 0.11x + (165000 + -1x)(0.09)(1) = 16550 Reorder the terms for easier multiplication: 0.11x + 0.09 * 1(165000 + -1x) = 16550 Multiply 0.09 * 1 0.11x + 0.09(165000 + -1x) = 16550 0.11x + (165000 * 0.09 + -1x * 0.09) = 16550 0.11x + (14850 + -0.09x) = 16550 Reorder the terms: 14850 + 0.11x + -0.09x = 16550 Combine like terms: 0.11x + -0.09x = 0.02x 14850 + 0.02x = 16550 Solving 14850 + 0.02x = 16550 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14850' to each side of the equation. 14850 + -14850 + 0.02x = 16550 + -14850 Combine like terms: 14850 + -14850 = 0 0 + 0.02x = 16550 + -14850 0.02x = 16550 + -14850 Combine like terms: 16550 + -14850 = 1700 0.02x = 1700 Divide each side by '0.02'. x = 85000 Simplifying x = 85000
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