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Simplifying -49.654 + ((0.022) * 4.18(x + -100)) + 40.02 + ((0.120)(4.184)(x + 0)) = 0 Reorder the terms: -49.654 + (0.022 * 4.18(-100 + x)) + 40.02 + ((0.120)(4.184)(x + 0)) = 0 Multiply 0.022 * 4.18 -49.654 + (0.09196(-100 + x)) + 40.02 + ((0.120)(4.184)(x + 0)) = 0 -49.654 + ((-100 * 0.09196 + x * 0.09196)) + 40.02 + ((0.120)(4.184)(x + 0)) = 0 -49.654 + ((-9.196 + 0.09196x)) + 40.02 + ((0.120)(4.184)(x + 0)) = 0 -49.654 + (-9.196 + 0.09196x) + 40.02 + ((0.120)(4.184)(x + 0)) = 0 Remove parenthesis around (-9.196 + 0.09196x) -49.654 + -9.196 + 0.09196x + 40.02 + ((0.120)(4.184)(x + 0)) = 0 Reorder the terms: -49.654 + -9.196 + 0.09196x + 40.02 + (0.120 * 4.184(0 + x)) = 0 Remove the zero: -49.654 + -9.196 + 0.09196x + 40.02 + (0.120 * 4.184(x)) = 0 Multiply 0.120 * 4.184 -49.654 + -9.196 + 0.09196x + 40.02 + (0.50208x) = 0 Reorder the terms: -49.654 + -9.196 + 40.02 + 0.09196x + (0.50208x) = 0 Combine like terms: -49.654 + -9.196 = -58.85 -58.85 + 40.02 + 0.09196x + (0.50208x) = 0 Combine like terms: -58.85 + 40.02 = -18.83 -18.83 + 0.09196x + (0.50208x) = 0 Combine like terms: 0.09196x + (0.50208x) = 0.59404x -18.83 + 0.59404x = 0 Solving -18.83 + 0.59404x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18.83' to each side of the equation. -18.83 + 18.83 + 0.59404x = 0 + 18.83 Combine like terms: -18.83 + 18.83 = 0.00 0.00 + 0.59404x = 0 + 18.83 0.59404x = 0 + 18.83 Combine like terms: 0 + 18.83 = 18.83 0.59404x = 18.83 Divide each side by '0.59404'. x = 31.69820214 Simplifying x = 31.69820214
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