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Simplifying 3.2x + -5.6 + 8x = 8.2x + -12.2 Reorder the terms: -5.6 + 3.2x + 8x = 8.2x + -12.2 Combine like terms: 3.2x + 8x = 11.2x -5.6 + 11.2x = 8.2x + -12.2 Reorder the terms: -5.6 + 11.2x = -12.2 + 8.2x Solving -5.6 + 11.2x = -12.2 + 8.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.2x' to each side of the equation. -5.6 + 11.2x + -8.2x = -12.2 + 8.2x + -8.2x Combine like terms: 11.2x + -8.2x = 3x -5.6 + 3x = -12.2 + 8.2x + -8.2x Combine like terms: 8.2x + -8.2x = 0.0 -5.6 + 3x = -12.2 + 0.0 -5.6 + 3x = -12.2 Add '5.6' to each side of the equation. -5.6 + 5.6 + 3x = -12.2 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 3x = -12.2 + 5.6 3x = -12.2 + 5.6 Combine like terms: -12.2 + 5.6 = -6.6 3x = -6.6 Divide each side by '3'. x = -2.2 Simplifying x = -2.2
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