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Simplifying 5.5x + -5 = 4x + -2.5 Reorder the terms: -5 + 5.5x = 4x + -2.5 Reorder the terms: -5 + 5.5x = -2.5 + 4x Solving -5 + 5.5x = -2.5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 5.5x + -4x = -2.5 + 4x + -4x Combine like terms: 5.5x + -4x = 1.5x -5 + 1.5x = -2.5 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 1.5x = -2.5 + 0 -5 + 1.5x = -2.5 Add '5' to each side of the equation. -5 + 5 + 1.5x = -2.5 + 5 Combine like terms: -5 + 5 = 0 0 + 1.5x = -2.5 + 5 1.5x = -2.5 + 5 Combine like terms: -2.5 + 5 = 2.5 1.5x = 2.5 Divide each side by '1.5'. x = 1.666666667 Simplifying x = 1.666666667
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