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Simplifying 6 + -4.2x + 31.5 = 65.1 Reorder the terms: 6 + 31.5 + -4.2x = 65.1 Combine like terms: 6 + 31.5 = 37.5 37.5 + -4.2x = 65.1 Solving 37.5 + -4.2x = 65.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37.5' to each side of the equation. 37.5 + -37.5 + -4.2x = 65.1 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + -4.2x = 65.1 + -37.5 -4.2x = 65.1 + -37.5 Combine like terms: 65.1 + -37.5 = 27.6 -4.2x = 27.6 Divide each side by '-4.2'. x = -6.571428571 Simplifying x = -6.571428571
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