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Simplifying 10.2x + 50.05 = -9.8x + 49.49 Reorder the terms: 50.05 + 10.2x = -9.8x + 49.49 Reorder the terms: 50.05 + 10.2x = 49.49 + -9.8x Solving 50.05 + 10.2x = 49.49 + -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. 50.05 + 10.2x + 9.8x = 49.49 + -9.8x + 9.8x Combine like terms: 10.2x + 9.8x = 20x 50.05 + 20x = 49.49 + -9.8x + 9.8x Combine like terms: -9.8x + 9.8x = 0.0 50.05 + 20x = 49.49 + 0.0 50.05 + 20x = 49.49 Add '-50.05' to each side of the equation. 50.05 + -50.05 + 20x = 49.49 + -50.05 Combine like terms: 50.05 + -50.05 = 0.00 0.00 + 20x = 49.49 + -50.05 20x = 49.49 + -50.05 Combine like terms: 49.49 + -50.05 = -0.56 20x = -0.56 Divide each side by '20'. x = -0.028 Simplifying x = -0.028
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