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Simplifying 9.5x + 47.27 = -10.5x + 46.43 Reorder the terms: 47.27 + 9.5x = -10.5x + 46.43 Reorder the terms: 47.27 + 9.5x = 46.43 + -10.5x Solving 47.27 + 9.5x = 46.43 + -10.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5x' to each side of the equation. 47.27 + 9.5x + 10.5x = 46.43 + -10.5x + 10.5x Combine like terms: 9.5x + 10.5x = 20x 47.27 + 20x = 46.43 + -10.5x + 10.5x Combine like terms: -10.5x + 10.5x = 0.0 47.27 + 20x = 46.43 + 0.0 47.27 + 20x = 46.43 Add '-47.27' to each side of the equation. 47.27 + -47.27 + 20x = 46.43 + -47.27 Combine like terms: 47.27 + -47.27 = 0.00 0.00 + 20x = 46.43 + -47.27 20x = 46.43 + -47.27 Combine like terms: 46.43 + -47.27 = -0.84 20x = -0.84 Divide each side by '20'. x = -0.042 Simplifying x = -0.042
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