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Simplifying 6.7 = 5.3x + 12.3 Reorder the terms: 6.7 = 12.3 + 5.3x Solving 6.7 = 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. 6.7 + -5.3x = 12.3 + 5.3x + -5.3x Combine like terms: 5.3x + -5.3x = 0.0 6.7 + -5.3x = 12.3 + 0.0 6.7 + -5.3x = 12.3 Add '-6.7' to each side of the equation. 6.7 + -6.7 + -5.3x = 12.3 + -6.7 Combine like terms: 6.7 + -6.7 = 0.0 0.0 + -5.3x = 12.3 + -6.7 -5.3x = 12.3 + -6.7 Combine like terms: 12.3 + -6.7 = 5.6 -5.3x = 5.6 Divide each side by '-5.3'. x = -1.056603774 Simplifying x = -1.056603774
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