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Simplifying 10.9x + 82.17 = -9.1x + 82.05 Reorder the terms: 82.17 + 10.9x = -9.1x + 82.05 Reorder the terms: 82.17 + 10.9x = 82.05 + -9.1x Solving 82.17 + 10.9x = 82.05 + -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. 82.17 + 10.9x + 9.1x = 82.05 + -9.1x + 9.1x Combine like terms: 10.9x + 9.1x = 20x 82.17 + 20x = 82.05 + -9.1x + 9.1x Combine like terms: -9.1x + 9.1x = 0.0 82.17 + 20x = 82.05 + 0.0 82.17 + 20x = 82.05 Add '-82.17' to each side of the equation. 82.17 + -82.17 + 20x = 82.05 + -82.17 Combine like terms: 82.17 + -82.17 = 0.00 0.00 + 20x = 82.05 + -82.17 20x = 82.05 + -82.17 Combine like terms: 82.05 + -82.17 = -0.12 20x = -0.12 Divide each side by '20'. x = -0.006 Simplifying x = -0.006
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