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Simplifying 0.5x + 8.2 = 4.6x Reorder the terms: 8.2 + 0.5x = 4.6x Solving 8.2 + 0.5x = 4.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.6x' to each side of the equation. 8.2 + 0.5x + -4.6x = 4.6x + -4.6x Combine like terms: 0.5x + -4.6x = -4.1x 8.2 + -4.1x = 4.6x + -4.6x Combine like terms: 4.6x + -4.6x = 0.0 8.2 + -4.1x = 0.0 Add '-8.2' to each side of the equation. 8.2 + -8.2 + -4.1x = 0.0 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + -4.1x = 0.0 + -8.2 -4.1x = 0.0 + -8.2 Combine like terms: 0.0 + -8.2 = -8.2 -4.1x = -8.2 Divide each side by '-4.1'. x = 2 Simplifying x = 2
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