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Simplifying c(x) = 0.0001x(3) + -0.09x(2) + 20x + 1200 Multiply c * x cx = 0.0001x(3) + -0.09x(2) + 20x + 1200 Reorder the terms for easier multiplication: cx = 0.0001 * 3x + -0.09x(2) + 20x + 1200 Multiply 0.0001 * 3 cx = 0.0003x + -0.09x(2) + 20x + 1200 Reorder the terms for easier multiplication: cx = 0.0003x + -0.09 * 2x + 20x + 1200 Multiply -0.09 * 2 cx = 0.0003x + -0.18x + 20x + 1200 Reorder the terms: cx = 1200 + 0.0003x + -0.18x + 20x Combine like terms: 0.0003x + -0.18x = -0.1797x cx = 1200 + -0.1797x + 20x Combine like terms: -0.1797x + 20x = 19.8203x cx = 1200 + 19.8203x Solving cx = 1200 + 19.8203x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by 'x'. c = 1200x-1 + 19.8203 Simplifying c = 1200x-1 + 19.8203 Reorder the terms: c = 19.8203 + 1200x-1
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