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Simplifying 10.8x + 39.57 = -9.2x + 38.51 Reorder the terms: 39.57 + 10.8x = -9.2x + 38.51 Reorder the terms: 39.57 + 10.8x = 38.51 + -9.2x Solving 39.57 + 10.8x = 38.51 + -9.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.2x' to each side of the equation. 39.57 + 10.8x + 9.2x = 38.51 + -9.2x + 9.2x Combine like terms: 10.8x + 9.2x = 20x 39.57 + 20x = 38.51 + -9.2x + 9.2x Combine like terms: -9.2x + 9.2x = 0.0 39.57 + 20x = 38.51 + 0.0 39.57 + 20x = 38.51 Add '-39.57' to each side of the equation. 39.57 + -39.57 + 20x = 38.51 + -39.57 Combine like terms: 39.57 + -39.57 = 0.00 0.00 + 20x = 38.51 + -39.57 20x = 38.51 + -39.57 Combine like terms: 38.51 + -39.57 = -1.06 20x = -1.06 Divide each side by '20'. x = -0.053 Simplifying x = -0.053
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