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Simplifying 4.1x + -5.4 + 8x = 8.1x + -24.2 Reorder the terms: -5.4 + 4.1x + 8x = 8.1x + -24.2 Combine like terms: 4.1x + 8x = 12.1x -5.4 + 12.1x = 8.1x + -24.2 Reorder the terms: -5.4 + 12.1x = -24.2 + 8.1x Solving -5.4 + 12.1x = -24.2 + 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. -5.4 + 12.1x + -8.1x = -24.2 + 8.1x + -8.1x Combine like terms: 12.1x + -8.1x = 4x -5.4 + 4x = -24.2 + 8.1x + -8.1x Combine like terms: 8.1x + -8.1x = 0.0 -5.4 + 4x = -24.2 + 0.0 -5.4 + 4x = -24.2 Add '5.4' to each side of the equation. -5.4 + 5.4 + 4x = -24.2 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 4x = -24.2 + 5.4 4x = -24.2 + 5.4 Combine like terms: -24.2 + 5.4 = -18.8 4x = -18.8 Divide each side by '4'. x = -4.7 Simplifying x = -4.7
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