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Simplifying 3x + 4.6 + -0.8x = 0.6x + -4.2 Reorder the terms: 4.6 + 3x + -0.8x = 0.6x + -4.2 Combine like terms: 3x + -0.8x = 2.2x 4.6 + 2.2x = 0.6x + -4.2 Reorder the terms: 4.6 + 2.2x = -4.2 + 0.6x Solving 4.6 + 2.2x = -4.2 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 4.6 + 2.2x + -0.6x = -4.2 + 0.6x + -0.6x Combine like terms: 2.2x + -0.6x = 1.6x 4.6 + 1.6x = -4.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 4.6 + 1.6x = -4.2 + 0.0 4.6 + 1.6x = -4.2 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 1.6x = -4.2 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 1.6x = -4.2 + -4.6 1.6x = -4.2 + -4.6 Combine like terms: -4.2 + -4.6 = -8.8 1.6x = -8.8 Divide each side by '1.6'. x = -5.5 Simplifying x = -5.5
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