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Simplifying rx = (100 + -1x)(50 + x) Multiply (100 + -1x) * (50 + x) rx = (100(50 + x) + -1x * (50 + x)) rx = ((50 * 100 + x * 100) + -1x * (50 + x)) rx = ((5000 + 100x) + -1x * (50 + x)) rx = (5000 + 100x + (50 * -1x + x * -1x)) rx = (5000 + 100x + (-50x + -1x2)) Combine like terms: 100x + -50x = 50x rx = (5000 + 50x + -1x2) Solving rx = 5000 + 50x + -1x2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by 'x'. r = 5000x-1 + 50 + -1x Simplifying r = 5000x-1 + 50 + -1x Reorder the terms: r = 50 + 5000x-1 + -1x
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