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Simplifying (100000 + -1x)(0.04) + 2(100000 + -1X)(0.06) = 960 Reorder the terms for easier multiplication: 0.04(100000 + -1x) + 2(100000 + -1X)(0.06) = 960 (100000 * 0.04 + -1x * 0.04) + 2(100000 + -1X)(0.06) = 960 (4000 + -0.04x) + 2(100000 + -1X)(0.06) = 960 Reorder the terms for easier multiplication: 4000 + -0.04x + 2 * 0.06(100000 + -1X) = 960 Multiply 2 * 0.06 4000 + -0.04x + 0.12(100000 + -1X) = 960 4000 + -0.04x + (100000 * 0.12 + -1X * 0.12) = 960 4000 + -0.04x + (12000 + -0.12X) = 960 Reorder the terms: 4000 + 12000 + -0.12X + -0.04x = 960 Combine like terms: 4000 + 12000 = 16000 16000 + -0.12X + -0.04x = 960 Solving 16000 + -0.12X + -0.04x = 960 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-16000' to each side of the equation. 16000 + -0.12X + -16000 + -0.04x = 960 + -16000 Reorder the terms: 16000 + -16000 + -0.12X + -0.04x = 960 + -16000 Combine like terms: 16000 + -16000 = 0 0 + -0.12X + -0.04x = 960 + -16000 -0.12X + -0.04x = 960 + -16000 Combine like terms: 960 + -16000 = -15040 -0.12X + -0.04x = -15040 Add '0.04x' to each side of the equation. -0.12X + -0.04x + 0.04x = -15040 + 0.04x Combine like terms: -0.04x + 0.04x = 0.00 -0.12X + 0.00 = -15040 + 0.04x -0.12X = -15040 + 0.04x Divide each side by '-0.12'. X = 125333.3333 + -0.3333333333x Simplifying X = 125333.3333 + -0.3333333333x
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