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Simplifying 6.5 + 9.5x = x + 43.3 Reorder the terms: 6.5 + 9.5x = 43.3 + x Solving 6.5 + 9.5x = 43.3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6.5 + 9.5x + -1x = 43.3 + x + -1x Combine like terms: 9.5x + -1x = 8.5x 6.5 + 8.5x = 43.3 + x + -1x Combine like terms: x + -1x = 0 6.5 + 8.5x = 43.3 + 0 6.5 + 8.5x = 43.3 Add '-6.5' to each side of the equation. 6.5 + -6.5 + 8.5x = 43.3 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 8.5x = 43.3 + -6.5 8.5x = 43.3 + -6.5 Combine like terms: 43.3 + -6.5 = 36.8 8.5x = 36.8 Divide each side by '8.5'. x = 4.329411765 Simplifying x = 4.329411765
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