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Simplifying R = (12 + -0.1x)(1000 + 20x) Multiply (12 + -0.1x) * (1000 + 20x) R = (12(1000 + 20x) + -0.1x * (1000 + 20x)) R = ((1000 * 12 + 20x * 12) + -0.1x * (1000 + 20x)) R = ((12000 + 240x) + -0.1x * (1000 + 20x)) R = (12000 + 240x + (1000 * -0.1x + 20x * -0.1x)) R = (12000 + 240x + (-100x + -2x2)) Combine like terms: 240x + -100x = 140x R = (12000 + 140x + -2x2) Solving R = 12000 + 140x + -2x2 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Simplifying R = 12000 + 140x + -2x2
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