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Simplifying 5.2x + -6.7 + 8x = 8.2x + -31.2 Reorder the terms: -6.7 + 5.2x + 8x = 8.2x + -31.2 Combine like terms: 5.2x + 8x = 13.2x -6.7 + 13.2x = 8.2x + -31.2 Reorder the terms: -6.7 + 13.2x = -31.2 + 8.2x Solving -6.7 + 13.2x = -31.2 + 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. -6.7 + 13.2x + -8.2x = -31.2 + 8.2x + -8.2x Combine like terms: 13.2x + -8.2x = 5x -6.7 + 5x = -31.2 + 8.2x + -8.2x Combine like terms: 8.2x + -8.2x = 0.0 -6.7 + 5x = -31.2 + 0.0 -6.7 + 5x = -31.2 Add '6.7' to each side of the equation. -6.7 + 6.7 + 5x = -31.2 + 6.7 Combine like terms: -6.7 + 6.7 = 0.0 0.0 + 5x = -31.2 + 6.7 5x = -31.2 + 6.7 Combine like terms: -31.2 + 6.7 = -24.5 5x = -24.5 Divide each side by '5'. x = -4.9 Simplifying x = -4.9
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