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Simplifying (275)(0.444)(x + -100) = (100)(4.184)(x + -22) Reorder the terms: 275 * 0.444(-100 + x) = (100)(4.184)(x + -22) Multiply 275 * 0.444 122.1(-100 + x) = (100)(4.184)(x + -22) (-100 * 122.1 + x * 122.1) = (100)(4.184)(x + -22) (-12210 + 122.1x) = (100)(4.184)(x + -22) Reorder the terms: -12210 + 122.1x = 100 * 4.184(-22 + x) Multiply 100 * 4.184 -12210 + 122.1x = 418.4(-22 + x) -12210 + 122.1x = (-22 * 418.4 + x * 418.4) -12210 + 122.1x = (-9204.8 + 418.4x) Solving -12210 + 122.1x = -9204.8 + 418.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-418.4x' to each side of the equation. -12210 + 122.1x + -418.4x = -9204.8 + 418.4x + -418.4x Combine like terms: 122.1x + -418.4x = -296.3x -12210 + -296.3x = -9204.8 + 418.4x + -418.4x Combine like terms: 418.4x + -418.4x = 0.0 -12210 + -296.3x = -9204.8 + 0.0 -12210 + -296.3x = -9204.8 Add '12210' to each side of the equation. -12210 + 12210 + -296.3x = -9204.8 + 12210 Combine like terms: -12210 + 12210 = 0 0 + -296.3x = -9204.8 + 12210 -296.3x = -9204.8 + 12210 Combine like terms: -9204.8 + 12210 = 3005.2 -296.3x = 3005.2 Divide each side by '-296.3'. x = -10.14242322 Simplifying x = -10.14242322

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