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Simplifying 10.6x + 81.42 = -9.4x + 79.70 Reorder the terms: 81.42 + 10.6x = -9.4x + 79.70 Reorder the terms: 81.42 + 10.6x = 79.70 + -9.4x Solving 81.42 + 10.6x = 79.70 + -9.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.4x' to each side of the equation. 81.42 + 10.6x + 9.4x = 79.70 + -9.4x + 9.4x Combine like terms: 10.6x + 9.4x = 20x 81.42 + 20x = 79.70 + -9.4x + 9.4x Combine like terms: -9.4x + 9.4x = 0.0 81.42 + 20x = 79.70 + 0.0 81.42 + 20x = 79.70 Add '-81.42' to each side of the equation. 81.42 + -81.42 + 20x = 79.70 + -81.42 Combine like terms: 81.42 + -81.42 = 0.00 0.00 + 20x = 79.70 + -81.42 20x = 79.70 + -81.42 Combine like terms: 79.70 + -81.42 = -1.72 20x = -1.72 Divide each side by '20'. x = -0.086 Simplifying x = -0.086
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