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Simplifying 5.5x + -1.5 = 8x + 6 Reorder the terms: -1.5 + 5.5x = 8x + 6 Reorder the terms: -1.5 + 5.5x = 6 + 8x Solving -1.5 + 5.5x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1.5 + 5.5x + -8x = 6 + 8x + -8x Combine like terms: 5.5x + -8x = -2.5x -1.5 + -2.5x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -1.5 + -2.5x = 6 + 0 -1.5 + -2.5x = 6 Add '1.5' to each side of the equation. -1.5 + 1.5 + -2.5x = 6 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2.5x = 6 + 1.5 -2.5x = 6 + 1.5 Combine like terms: 6 + 1.5 = 7.5 -2.5x = 7.5 Divide each side by '-2.5'. x = -3 Simplifying x = -3
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