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Simplifying 3.9x + 42.1 = 4.6 + -8.6x Reorder the terms: 42.1 + 3.9x = 4.6 + -8.6x Solving 42.1 + 3.9x = 4.6 + -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. 42.1 + 3.9x + 8.6x = 4.6 + -8.6x + 8.6x Combine like terms: 3.9x + 8.6x = 12.5x 42.1 + 12.5x = 4.6 + -8.6x + 8.6x Combine like terms: -8.6x + 8.6x = 0.0 42.1 + 12.5x = 4.6 + 0.0 42.1 + 12.5x = 4.6 Add '-42.1' to each side of the equation. 42.1 + -42.1 + 12.5x = 4.6 + -42.1 Combine like terms: 42.1 + -42.1 = 0.0 0.0 + 12.5x = 4.6 + -42.1 12.5x = 4.6 + -42.1 Combine like terms: 4.6 + -42.1 = -37.5 12.5x = -37.5 Divide each side by '12.5'. x = -3 Simplifying x = -3
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