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Simplifying 3.5x + 56.4 = 35.8 + -6.8x Reorder the terms: 56.4 + 3.5x = 35.8 + -6.8x Solving 56.4 + 3.5x = 35.8 + -6.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.8x' to each side of the equation. 56.4 + 3.5x + 6.8x = 35.8 + -6.8x + 6.8x Combine like terms: 3.5x + 6.8x = 10.3x 56.4 + 10.3x = 35.8 + -6.8x + 6.8x Combine like terms: -6.8x + 6.8x = 0.0 56.4 + 10.3x = 35.8 + 0.0 56.4 + 10.3x = 35.8 Add '-56.4' to each side of the equation. 56.4 + -56.4 + 10.3x = 35.8 + -56.4 Combine like terms: 56.4 + -56.4 = 0.0 0.0 + 10.3x = 35.8 + -56.4 10.3x = 35.8 + -56.4 Combine like terms: 35.8 + -56.4 = -20.6 10.3x = -20.6 Divide each side by '10.3'. x = -2 Simplifying x = -2
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