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Simplifying 4.1x + -5.5 + 8x = 8.1x + -21.1 Reorder the terms: -5.5 + 4.1x + 8x = 8.1x + -21.1 Combine like terms: 4.1x + 8x = 12.1x -5.5 + 12.1x = 8.1x + -21.1 Reorder the terms: -5.5 + 12.1x = -21.1 + 8.1x Solving -5.5 + 12.1x = -21.1 + 8.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.1x' to each side of the equation. -5.5 + 12.1x + -8.1x = -21.1 + 8.1x + -8.1x Combine like terms: 12.1x + -8.1x = 4x -5.5 + 4x = -21.1 + 8.1x + -8.1x Combine like terms: 8.1x + -8.1x = 0.0 -5.5 + 4x = -21.1 + 0.0 -5.5 + 4x = -21.1 Add '5.5' to each side of the equation. -5.5 + 5.5 + 4x = -21.1 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 4x = -21.1 + 5.5 4x = -21.1 + 5.5 Combine like terms: -21.1 + 5.5 = -15.6 4x = -15.6 Divide each side by '4'. x = -3.9 Simplifying x = -3.9
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