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Simplifying 10.2x + 39.55 = -9.8x + 38.19 Reorder the terms: 39.55 + 10.2x = -9.8x + 38.19 Reorder the terms: 39.55 + 10.2x = 38.19 + -9.8x Solving 39.55 + 10.2x = 38.19 + -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. 39.55 + 10.2x + 9.8x = 38.19 + -9.8x + 9.8x Combine like terms: 10.2x + 9.8x = 20x 39.55 + 20x = 38.19 + -9.8x + 9.8x Combine like terms: -9.8x + 9.8x = 0.0 39.55 + 20x = 38.19 + 0.0 39.55 + 20x = 38.19 Add '-39.55' to each side of the equation. 39.55 + -39.55 + 20x = 38.19 + -39.55 Combine like terms: 39.55 + -39.55 = 0.00 0.00 + 20x = 38.19 + -39.55 20x = 38.19 + -39.55 Combine like terms: 38.19 + -39.55 = -1.36 20x = -1.36 Divide each side by '20'. x = -0.068 Simplifying x = -0.068
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