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Simplifying -45.14 + ((0.02) * 4.18(x + -100)) + 50.03 + ((0.150)(4.184)(x + 0)) = 0 Reorder the terms: -45.14 + (0.02 * 4.18(-100 + x)) + 50.03 + ((0.150)(4.184)(x + 0)) = 0 Multiply 0.02 * 4.18 -45.14 + (0.0836(-100 + x)) + 50.03 + ((0.150)(4.184)(x + 0)) = 0 -45.14 + ((-100 * 0.0836 + x * 0.0836)) + 50.03 + ((0.150)(4.184)(x + 0)) = 0 -45.14 + ((-8.36 + 0.0836x)) + 50.03 + ((0.150)(4.184)(x + 0)) = 0 -45.14 + (-8.36 + 0.0836x) + 50.03 + ((0.150)(4.184)(x + 0)) = 0 Remove parenthesis around (-8.36 + 0.0836x) -45.14 + -8.36 + 0.0836x + 50.03 + ((0.150)(4.184)(x + 0)) = 0 Reorder the terms: -45.14 + -8.36 + 0.0836x + 50.03 + (0.150 * 4.184(0 + x)) = 0 Remove the zero: -45.14 + -8.36 + 0.0836x + 50.03 + (0.150 * 4.184(x)) = 0 Multiply 0.150 * 4.184 -45.14 + -8.36 + 0.0836x + 50.03 + (0.6276x) = 0 Reorder the terms: -45.14 + -8.36 + 50.03 + 0.0836x + (0.6276x) = 0 Combine like terms: -45.14 + -8.36 = -53.5 -53.5 + 50.03 + 0.0836x + (0.6276x) = 0 Combine like terms: -53.5 + 50.03 = -3.47 -3.47 + 0.0836x + (0.6276x) = 0 Combine like terms: 0.0836x + (0.6276x) = 0.7112x -3.47 + 0.7112x = 0 Solving -3.47 + 0.7112x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.47' to each side of the equation. -3.47 + 3.47 + 0.7112x = 0 + 3.47 Combine like terms: -3.47 + 3.47 = 0.00 0.00 + 0.7112x = 0 + 3.47 0.7112x = 0 + 3.47 Combine like terms: 0 + 3.47 = 3.47 0.7112x = 3.47 Divide each side by '0.7112'. x = 4.879077615 Simplifying x = 4.879077615
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