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Simplifying 6.7x = 5.2x + 12.4 Reorder the terms: 6.7x = 12.4 + 5.2x Solving 6.7x = 12.4 + 5.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.2x' to each side of the equation. 6.7x + -5.2x = 12.4 + 5.2x + -5.2x Combine like terms: 6.7x + -5.2x = 1.5x 1.5x = 12.4 + 5.2x + -5.2x Combine like terms: 5.2x + -5.2x = 0.0 1.5x = 12.4 + 0.0 1.5x = 12.4 Divide each side by '1.5'. x = 8.266666667 Simplifying x = 8.266666667
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