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Simplifying 4.5x + 46.9 = 7.6 + -8.6x Reorder the terms: 46.9 + 4.5x = 7.6 + -8.6x Solving 46.9 + 4.5x = 7.6 + -8.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.6x' to each side of the equation. 46.9 + 4.5x + 8.6x = 7.6 + -8.6x + 8.6x Combine like terms: 4.5x + 8.6x = 13.1x 46.9 + 13.1x = 7.6 + -8.6x + 8.6x Combine like terms: -8.6x + 8.6x = 0.0 46.9 + 13.1x = 7.6 + 0.0 46.9 + 13.1x = 7.6 Add '-46.9' to each side of the equation. 46.9 + -46.9 + 13.1x = 7.6 + -46.9 Combine like terms: 46.9 + -46.9 = 0.0 0.0 + 13.1x = 7.6 + -46.9 13.1x = 7.6 + -46.9 Combine like terms: 7.6 + -46.9 = -39.3 13.1x = -39.3 Divide each side by '13.1'. x = -3 Simplifying x = -3
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