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Simplifying 0.5x + 5.5 = -1.7x + -5.5 Reorder the terms: 5.5 + 0.5x = -1.7x + -5.5 Reorder the terms: 5.5 + 0.5x = -5.5 + -1.7x Solving 5.5 + 0.5x = -5.5 + -1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.7x' to each side of the equation. 5.5 + 0.5x + 1.7x = -5.5 + -1.7x + 1.7x Combine like terms: 0.5x + 1.7x = 2.2x 5.5 + 2.2x = -5.5 + -1.7x + 1.7x Combine like terms: -1.7x + 1.7x = 0.0 5.5 + 2.2x = -5.5 + 0.0 5.5 + 2.2x = -5.5 Add '-5.5' to each side of the equation. 5.5 + -5.5 + 2.2x = -5.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 2.2x = -5.5 + -5.5 2.2x = -5.5 + -5.5 Combine like terms: -5.5 + -5.5 = -11 2.2x = -11 Divide each side by '2.2'. x = -5 Simplifying x = -5
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