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Simplifying 5.9x + -6.5 + 8x = 8.9x + -27.5 Reorder the terms: -6.5 + 5.9x + 8x = 8.9x + -27.5 Combine like terms: 5.9x + 8x = 13.9x -6.5 + 13.9x = 8.9x + -27.5 Reorder the terms: -6.5 + 13.9x = -27.5 + 8.9x Solving -6.5 + 13.9x = -27.5 + 8.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.9x' to each side of the equation. -6.5 + 13.9x + -8.9x = -27.5 + 8.9x + -8.9x Combine like terms: 13.9x + -8.9x = 5x -6.5 + 5x = -27.5 + 8.9x + -8.9x Combine like terms: 8.9x + -8.9x = 0.0 -6.5 + 5x = -27.5 + 0.0 -6.5 + 5x = -27.5 Add '6.5' to each side of the equation. -6.5 + 6.5 + 5x = -27.5 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 5x = -27.5 + 6.5 5x = -27.5 + 6.5 Combine like terms: -27.5 + 6.5 = -21 5x = -21 Divide each side by '5'. x = -4.2 Simplifying x = -4.2
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