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Simplifying 0.022 * 4.18(x + -100) + 0.150 * 4.184x = -9.634 Reorder the terms: 0.022 * 4.18(-100 + x) + 0.150 * 4.184x = -9.634 Multiply 0.022 * 4.18 0.09196(-100 + x) + 0.150 * 4.184x = -9.634 (-100 * 0.09196 + x * 0.09196) + 0.150 * 4.184x = -9.634 (-9.196 + 0.09196x) + 0.150 * 4.184x = -9.634 Multiply 0.150 * 4.184 -9.196 + 0.09196x + 0.6276x = -9.634 Combine like terms: 0.09196x + 0.6276x = 0.71956x -9.196 + 0.71956x = -9.634 Solving -9.196 + 0.71956x = -9.634 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.196' to each side of the equation. -9.196 + 9.196 + 0.71956x = -9.634 + 9.196 Combine like terms: -9.196 + 9.196 = 0.000 0.000 + 0.71956x = -9.634 + 9.196 0.71956x = -9.634 + 9.196 Combine like terms: -9.634 + 9.196 = -0.438 0.71956x = -0.438 Divide each side by '0.71956'. x = -0.6087053199 Simplifying x = -0.6087053199
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