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Simplifying 10.9x + 81.98 = -9.1x + 81.82 Reorder the terms: 81.98 + 10.9x = -9.1x + 81.82 Reorder the terms: 81.98 + 10.9x = 81.82 + -9.1x Solving 81.98 + 10.9x = 81.82 + -9.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.1x' to each side of the equation. 81.98 + 10.9x + 9.1x = 81.82 + -9.1x + 9.1x Combine like terms: 10.9x + 9.1x = 20x 81.98 + 20x = 81.82 + -9.1x + 9.1x Combine like terms: -9.1x + 9.1x = 0.0 81.98 + 20x = 81.82 + 0.0 81.98 + 20x = 81.82 Add '-81.98' to each side of the equation. 81.98 + -81.98 + 20x = 81.82 + -81.98 Combine like terms: 81.98 + -81.98 = 0.00 0.00 + 20x = 81.82 + -81.98 20x = 81.82 + -81.98 Combine like terms: 81.82 + -81.98 = -0.16 20x = -0.16 Divide each side by '20'. x = -0.008 Simplifying x = -0.008
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