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Simplifying 9.7x + 31.43 = -10.3x + 30.49 Reorder the terms: 31.43 + 9.7x = -10.3x + 30.49 Reorder the terms: 31.43 + 9.7x = 30.49 + -10.3x Solving 31.43 + 9.7x = 30.49 + -10.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.3x' to each side of the equation. 31.43 + 9.7x + 10.3x = 30.49 + -10.3x + 10.3x Combine like terms: 9.7x + 10.3x = 20x 31.43 + 20x = 30.49 + -10.3x + 10.3x Combine like terms: -10.3x + 10.3x = 0.0 31.43 + 20x = 30.49 + 0.0 31.43 + 20x = 30.49 Add '-31.43' to each side of the equation. 31.43 + -31.43 + 20x = 30.49 + -31.43 Combine like terms: 31.43 + -31.43 = 0.00 0.00 + 20x = 30.49 + -31.43 20x = 30.49 + -31.43 Combine like terms: 30.49 + -31.43 = -0.94 20x = -0.94 Divide each side by '20'. x = -0.047 Simplifying x = -0.047
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