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Simplifying X(0.09)(1) + (165000 + -1x)(0.07)(1) = 13350 Reorder the terms for easier multiplication: 0.09 * 1X + (165000 + -1x)(0.07)(1) = 13350 Multiply 0.09 * 1 0.09X + (165000 + -1x)(0.07)(1) = 13350 Reorder the terms for easier multiplication: 0.09X + 0.07 * 1(165000 + -1x) = 13350 Multiply 0.07 * 1 0.09X + 0.07(165000 + -1x) = 13350 0.09X + (165000 * 0.07 + -1x * 0.07) = 13350 0.09X + (11550 + -0.07x) = 13350 Reorder the terms: 11550 + 0.09X + -0.07x = 13350 Solving 11550 + 0.09X + -0.07x = 13350 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-11550' to each side of the equation. 11550 + 0.09X + -11550 + -0.07x = 13350 + -11550 Reorder the terms: 11550 + -11550 + 0.09X + -0.07x = 13350 + -11550 Combine like terms: 11550 + -11550 = 0 0 + 0.09X + -0.07x = 13350 + -11550 0.09X + -0.07x = 13350 + -11550 Combine like terms: 13350 + -11550 = 1800 0.09X + -0.07x = 1800 Add '0.07x' to each side of the equation. 0.09X + -0.07x + 0.07x = 1800 + 0.07x Combine like terms: -0.07x + 0.07x = 0.00 0.09X + 0.00 = 1800 + 0.07x 0.09X = 1800 + 0.07x Divide each side by '0.09'. X = 20000 + 0.7777777778x Simplifying X = 20000 + 0.7777777778x
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