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Simplifying 11.8x + 6 = 6.3x + 37.90 Reorder the terms: 6 + 11.8x = 6.3x + 37.90 Reorder the terms: 6 + 11.8x = 37.90 + 6.3x Solving 6 + 11.8x = 37.90 + 6.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.3x' to each side of the equation. 6 + 11.8x + -6.3x = 37.90 + 6.3x + -6.3x Combine like terms: 11.8x + -6.3x = 5.5x 6 + 5.5x = 37.90 + 6.3x + -6.3x Combine like terms: 6.3x + -6.3x = 0.0 6 + 5.5x = 37.90 + 0.0 6 + 5.5x = 37.90 Add '-6' to each side of the equation. 6 + -6 + 5.5x = 37.90 + -6 Combine like terms: 6 + -6 = 0 0 + 5.5x = 37.90 + -6 5.5x = 37.90 + -6 Combine like terms: 37.90 + -6 = 31.9 5.5x = 31.9 Divide each side by '5.5'. x = 5.8 Simplifying x = 5.8
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