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Simplifying 5.5x + 2 = 0.5x + 32 Reorder the terms: 2 + 5.5x = 0.5x + 32 Reorder the terms: 2 + 5.5x = 32 + 0.5x Solving 2 + 5.5x = 32 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 2 + 5.5x + -0.5x = 32 + 0.5x + -0.5x Combine like terms: 5.5x + -0.5x = 5x 2 + 5x = 32 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2 + 5x = 32 + 0.0 2 + 5x = 32 Add '-2' to each side of the equation. 2 + -2 + 5x = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 32 + -2 5x = 32 + -2 Combine like terms: 32 + -2 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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