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Simplifying 4.2x + 35.4 = 9.8 + -8.6x Reorder the terms: 35.4 + 4.2x = 9.8 + -8.6x Solving 35.4 + 4.2x = 9.8 + -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. 35.4 + 4.2x + 8.6x = 9.8 + -8.6x + 8.6x Combine like terms: 4.2x + 8.6x = 12.8x 35.4 + 12.8x = 9.8 + -8.6x + 8.6x Combine like terms: -8.6x + 8.6x = 0.0 35.4 + 12.8x = 9.8 + 0.0 35.4 + 12.8x = 9.8 Add '-35.4' to each side of the equation. 35.4 + -35.4 + 12.8x = 9.8 + -35.4 Combine like terms: 35.4 + -35.4 = 0.0 0.0 + 12.8x = 9.8 + -35.4 12.8x = 9.8 + -35.4 Combine like terms: 9.8 + -35.4 = -25.6 12.8x = -25.6 Divide each side by '12.8'. x = -2 Simplifying x = -2
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