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Simplifying 5.5x + -6.9 + 8x = 8.5x + -30.9 Reorder the terms: -6.9 + 5.5x + 8x = 8.5x + -30.9 Combine like terms: 5.5x + 8x = 13.5x -6.9 + 13.5x = 8.5x + -30.9 Reorder the terms: -6.9 + 13.5x = -30.9 + 8.5x Solving -6.9 + 13.5x = -30.9 + 8.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5x' to each side of the equation. -6.9 + 13.5x + -8.5x = -30.9 + 8.5x + -8.5x Combine like terms: 13.5x + -8.5x = 5x -6.9 + 5x = -30.9 + 8.5x + -8.5x Combine like terms: 8.5x + -8.5x = 0.0 -6.9 + 5x = -30.9 + 0.0 -6.9 + 5x = -30.9 Add '6.9' to each side of the equation. -6.9 + 6.9 + 5x = -30.9 + 6.9 Combine like terms: -6.9 + 6.9 = 0.0 0.0 + 5x = -30.9 + 6.9 5x = -30.9 + 6.9 Combine like terms: -30.9 + 6.9 = -24 5x = -24 Divide each side by '5'. x = -4.8 Simplifying x = -4.8
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