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Simplifying 5.8 = 6x + 5.2 Reorder the terms: 5.8 = 5.2 + 6x Solving 5.8 = 5.2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5.8 + -6x = 5.2 + 6x + -6x Combine like terms: 6x + -6x = 0 5.8 + -6x = 5.2 + 0 5.8 + -6x = 5.2 Add '-5.8' to each side of the equation. 5.8 + -5.8 + -6x = 5.2 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + -6x = 5.2 + -5.8 -6x = 5.2 + -5.8 Combine like terms: 5.2 + -5.8 = -0.6 -6x = -0.6 Divide each side by '-6'. x = 0.1 Simplifying x = 0.1
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