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Simplifying 10.2x + 41.79 = -9.8x + 41.51 Reorder the terms: 41.79 + 10.2x = -9.8x + 41.51 Reorder the terms: 41.79 + 10.2x = 41.51 + -9.8x Solving 41.79 + 10.2x = 41.51 + -9.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.8x' to each side of the equation. 41.79 + 10.2x + 9.8x = 41.51 + -9.8x + 9.8x Combine like terms: 10.2x + 9.8x = 20x 41.79 + 20x = 41.51 + -9.8x + 9.8x Combine like terms: -9.8x + 9.8x = 0.0 41.79 + 20x = 41.51 + 0.0 41.79 + 20x = 41.51 Add '-41.79' to each side of the equation. 41.79 + -41.79 + 20x = 41.51 + -41.79 Combine like terms: 41.79 + -41.79 = 0.00 0.00 + 20x = 41.51 + -41.79 20x = 41.51 + -41.79 Combine like terms: 41.51 + -41.79 = -0.28 20x = -0.28 Divide each side by '20'. x = -0.014 Simplifying x = -0.014
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