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Simplifying 6.7x = 5.3x + 12.3 Reorder the terms: 6.7x = 12.3 + 5.3x Solving 6.7x = 12.3 + 5.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.3x' to each side of the equation. 6.7x + -5.3x = 12.3 + 5.3x + -5.3x Combine like terms: 6.7x + -5.3x = 1.4x 1.4x = 12.3 + 5.3x + -5.3x Combine like terms: 5.3x + -5.3x = 0.0 1.4x = 12.3 + 0.0 1.4x = 12.3 Divide each side by '1.4'. x = 8.785714286 Simplifying x = 8.785714286
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