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Simplifying 8.2x + 29.96 = -11.8x + 29.80 Reorder the terms: 29.96 + 8.2x = -11.8x + 29.80 Reorder the terms: 29.96 + 8.2x = 29.80 + -11.8x Solving 29.96 + 8.2x = 29.80 + -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. 29.96 + 8.2x + 11.8x = 29.80 + -11.8x + 11.8x Combine like terms: 8.2x + 11.8x = 20x 29.96 + 20x = 29.80 + -11.8x + 11.8x Combine like terms: -11.8x + 11.8x = 0.0 29.96 + 20x = 29.80 + 0.0 29.96 + 20x = 29.80 Add '-29.96' to each side of the equation. 29.96 + -29.96 + 20x = 29.80 + -29.96 Combine like terms: 29.96 + -29.96 = 0.00 0.00 + 20x = 29.80 + -29.96 20x = 29.80 + -29.96 Combine like terms: 29.80 + -29.96 = -0.16 20x = -0.16 Divide each side by '20'. x = -0.008 Simplifying x = -0.008
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