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Simplifying 9.8x + 51.47 = -10.42x + 56.71 Reorder the terms: 51.47 + 9.8x = -10.42x + 56.71 Reorder the terms: 51.47 + 9.8x = 56.71 + -10.42x Solving 51.47 + 9.8x = 56.71 + -10.42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.42x' to each side of the equation. 51.47 + 9.8x + 10.42x = 56.71 + -10.42x + 10.42x Combine like terms: 9.8x + 10.42x = 20.22x 51.47 + 20.22x = 56.71 + -10.42x + 10.42x Combine like terms: -10.42x + 10.42x = 0.00 51.47 + 20.22x = 56.71 + 0.00 51.47 + 20.22x = 56.71 Add '-51.47' to each side of the equation. 51.47 + -51.47 + 20.22x = 56.71 + -51.47 Combine like terms: 51.47 + -51.47 = 0.00 0.00 + 20.22x = 56.71 + -51.47 20.22x = 56.71 + -51.47 Combine like terms: 56.71 + -51.47 = 5.24 20.22x = 5.24 Divide each side by '20.22'. x = 0.2591493571 Simplifying x = 0.2591493571
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