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Simplifying 8.2x + 75.79 = -11.8x + 75.61 Reorder the terms: 75.79 + 8.2x = -11.8x + 75.61 Reorder the terms: 75.79 + 8.2x = 75.61 + -11.8x Solving 75.79 + 8.2x = 75.61 + -11.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.8x' to each side of the equation. 75.79 + 8.2x + 11.8x = 75.61 + -11.8x + 11.8x Combine like terms: 8.2x + 11.8x = 20x 75.79 + 20x = 75.61 + -11.8x + 11.8x Combine like terms: -11.8x + 11.8x = 0.0 75.79 + 20x = 75.61 + 0.0 75.79 + 20x = 75.61 Add '-75.79' to each side of the equation. 75.79 + -75.79 + 20x = 75.61 + -75.79 Combine like terms: 75.79 + -75.79 = 0.00 0.00 + 20x = 75.61 + -75.79 20x = 75.61 + -75.79 Combine like terms: 75.61 + -75.79 = -0.18 20x = -0.18 Divide each side by '20'. x = -0.009 Simplifying x = -0.009
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