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Simplifying 9855.57 = X(0.08)(6.14457) + (x + -250)(0.38554) Reorder the terms for easier multiplication: 9855.57 = 0.08 * 6.14457X + (x + -250)(0.38554) Multiply 0.08 * 6.14457 9855.57 = 0.4915656X + (x + -250)(0.38554) Reorder the terms: 9855.57 = 0.4915656X + (-250 + x)(0.38554) Reorder the terms for easier multiplication: 9855.57 = 0.4915656X + 0.38554(-250 + x) 9855.57 = 0.4915656X + (-250 * 0.38554 + x * 0.38554) 9855.57 = 0.4915656X + (-96.385 + 0.38554x) Reorder the terms: 9855.57 = -96.385 + 0.4915656X + 0.38554x Solving 9855.57 = -96.385 + 0.4915656X + 0.38554x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.4915656X' to each side of the equation. 9855.57 + -0.4915656X = -96.385 + 0.4915656X + -0.4915656X + 0.38554x Combine like terms: 0.4915656X + -0.4915656X = 0.0000000 9855.57 + -0.4915656X = -96.385 + 0.0000000 + 0.38554x 9855.57 + -0.4915656X = -96.385 + 0.38554x Add '-9855.57' to each side of the equation. 9855.57 + -9855.57 + -0.4915656X = -96.385 + -9855.57 + 0.38554x Combine like terms: 9855.57 + -9855.57 = 0.00 0.00 + -0.4915656X = -96.385 + -9855.57 + 0.38554x -0.4915656X = -96.385 + -9855.57 + 0.38554x Combine like terms: -96.385 + -9855.57 = -9951.955 -0.4915656X = -9951.955 + 0.38554x Divide each side by '-0.4915656'. X = 20245.42604 + -0.7843103749x Simplifying X = 20245.42604 + -0.7843103749x
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