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Simplifying 4.6x + 33.6 = 8.2 + -8.1x Reorder the terms: 33.6 + 4.6x = 8.2 + -8.1x Solving 33.6 + 4.6x = 8.2 + -8.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.1x' to each side of the equation. 33.6 + 4.6x + 8.1x = 8.2 + -8.1x + 8.1x Combine like terms: 4.6x + 8.1x = 12.7x 33.6 + 12.7x = 8.2 + -8.1x + 8.1x Combine like terms: -8.1x + 8.1x = 0.0 33.6 + 12.7x = 8.2 + 0.0 33.6 + 12.7x = 8.2 Add '-33.6' to each side of the equation. 33.6 + -33.6 + 12.7x = 8.2 + -33.6 Combine like terms: 33.6 + -33.6 = 0.0 0.0 + 12.7x = 8.2 + -33.6 12.7x = 8.2 + -33.6 Combine like terms: 8.2 + -33.6 = -25.4 12.7x = -25.4 Divide each side by '12.7'. x = -2 Simplifying x = -2
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