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Simplifying 0.4x + 8.2 = 4.5x Reorder the terms: 8.2 + 0.4x = 4.5x Solving 8.2 + 0.4x = 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 8.2 + 0.4x + -4.5x = 4.5x + -4.5x Combine like terms: 0.4x + -4.5x = -4.1x 8.2 + -4.1x = 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 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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