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Simplifying 10.9x + 91.94 = -9.1x + 90.82 Reorder the terms: 91.94 + 10.9x = -9.1x + 90.82 Reorder the terms: 91.94 + 10.9x = 90.82 + -9.1x Solving 91.94 + 10.9x = 90.82 + -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. 91.94 + 10.9x + 9.1x = 90.82 + -9.1x + 9.1x Combine like terms: 10.9x + 9.1x = 20x 91.94 + 20x = 90.82 + -9.1x + 9.1x Combine like terms: -9.1x + 9.1x = 0.0 91.94 + 20x = 90.82 + 0.0 91.94 + 20x = 90.82 Add '-91.94' to each side of the equation. 91.94 + -91.94 + 20x = 90.82 + -91.94 Combine like terms: 91.94 + -91.94 = 0.00 0.00 + 20x = 90.82 + -91.94 20x = 90.82 + -91.94 Combine like terms: 90.82 + -91.94 = -1.12 20x = -1.12 Divide each side by '20'. x = -0.056 Simplifying x = -0.056
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