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Simplifying 6x + 4.2 + -0.8x = 0.7x + -3.9 Reorder the terms: 4.2 + 6x + -0.8x = 0.7x + -3.9 Combine like terms: 6x + -0.8x = 5.2x 4.2 + 5.2x = 0.7x + -3.9 Reorder the terms: 4.2 + 5.2x = -3.9 + 0.7x Solving 4.2 + 5.2x = -3.9 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 4.2 + 5.2x + -0.7x = -3.9 + 0.7x + -0.7x Combine like terms: 5.2x + -0.7x = 4.5x 4.2 + 4.5x = -3.9 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 4.2 + 4.5x = -3.9 + 0.0 4.2 + 4.5x = -3.9 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 4.5x = -3.9 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 4.5x = -3.9 + -4.2 4.5x = -3.9 + -4.2 Combine like terms: -3.9 + -4.2 = -8.1 4.5x = -8.1 Divide each side by '4.5'. x = -1.8 Simplifying x = -1.8
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