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Simplifying (83.9134)(0.0056) + (85.9094)(x) + (86.9089)(0.1686 + -1x) + (87.9056)(0.8258) = 87.62 Multiply 83.9134 * 0.0056 0.46991504 + (85.9094)(x) + (86.9089)(0.1686 + -1x) + (87.9056)(0.8258) = 87.62 0.46991504 + 85.9094x + (0.1686 * 86.9089 + -1x * 86.9089) + (87.9056)(0.8258) = 87.62 0.46991504 + 85.9094x + (14.65284054 + -86.9089x) + (87.9056)(0.8258) = 87.62 Multiply 87.9056 * 0.8258 0.46991504 + 85.9094x + 14.65284054 + -86.9089x + 72.59244448 = 87.62 Reorder the terms: 0.46991504 + 14.65284054 + 72.59244448 + 85.9094x + -86.9089x = 87.62 Combine like terms: 0.46991504 + 14.65284054 = 15.12275558 15.12275558 + 72.59244448 + 85.9094x + -86.9089x = 87.62 Combine like terms: 15.12275558 + 72.59244448 = 87.71520006 87.71520006 + 85.9094x + -86.9089x = 87.62 Combine like terms: 85.9094x + -86.9089x = -0.9995x 87.71520006 + -0.9995x = 87.62 Solving 87.71520006 + -0.9995x = 87.62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-87.71520006' to each side of the equation. 87.71520006 + -87.71520006 + -0.9995x = 87.62 + -87.71520006 Combine like terms: 87.71520006 + -87.71520006 = 0.00000000 0.00000000 + -0.9995x = 87.62 + -87.71520006 -0.9995x = 87.62 + -87.71520006 Combine like terms: 87.62 + -87.71520006 = -0.09520006 -0.9995x = -0.09520006 Divide each side by '-0.9995'. x = 0.09524768384 Simplifying x = 0.09524768384
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