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Simplifying 5.2x + 12.3 = 6.7x Reorder the terms: 12.3 + 5.2x = 6.7x Solving 12.3 + 5.2x = 6.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.7x' to each side of the equation. 12.3 + 5.2x + -6.7x = 6.7x + -6.7x Combine like terms: 5.2x + -6.7x = -1.5x 12.3 + -1.5x = 6.7x + -6.7x Combine like terms: 6.7x + -6.7x = 0.0 12.3 + -1.5x = 0.0 Add '-12.3' to each side of the equation. 12.3 + -12.3 + -1.5x = 0.0 + -12.3 Combine like terms: 12.3 + -12.3 = 0.0 0.0 + -1.5x = 0.0 + -12.3 -1.5x = 0.0 + -12.3 Combine like terms: 0.0 + -12.3 = -12.3 -1.5x = -12.3 Divide each side by '-1.5'. x = 8.2 Simplifying x = 8.2
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