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Simplifying 9000 = (150 + -1y) * 70 + (150 + -1X) * 55 Reorder the terms for easier multiplication: 9000 = 70(150 + -1y) + (150 + -1X) * 55 9000 = (150 * 70 + -1y * 70) + (150 + -1X) * 55 9000 = (10500 + -70y) + (150 + -1X) * 55 Reorder the terms for easier multiplication: 9000 = 10500 + -70y + 55(150 + -1X) 9000 = 10500 + -70y + (150 * 55 + -1X * 55) 9000 = 10500 + -70y + (8250 + -55X) Reorder the terms: 9000 = 10500 + 8250 + -55X + -70y Combine like terms: 10500 + 8250 = 18750 9000 = 18750 + -55X + -70y Solving 9000 = 18750 + -55X + -70y Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '55X' to each side of the equation. 9000 + 55X = 18750 + -55X + 55X + -70y Combine like terms: -55X + 55X = 0 9000 + 55X = 18750 + 0 + -70y 9000 + 55X = 18750 + -70y Add '-9000' to each side of the equation. 9000 + -9000 + 55X = 18750 + -9000 + -70y Combine like terms: 9000 + -9000 = 0 0 + 55X = 18750 + -9000 + -70y 55X = 18750 + -9000 + -70y Combine like terms: 18750 + -9000 = 9750 55X = 9750 + -70y Divide each side by '55'. X = 177.2727273 + -1.272727273y Simplifying X = 177.2727273 + -1.272727273y
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