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Simplifying 3x + 17 = 0.5x + -5 Reorder the terms: 17 + 3x = 0.5x + -5 Reorder the terms: 17 + 3x = -5 + 0.5x Solving 17 + 3x = -5 + 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. 17 + 3x + -0.5x = -5 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x 17 + 2.5x = -5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 17 + 2.5x = -5 + 0.0 17 + 2.5x = -5 Add '-17' to each side of the equation. 17 + -17 + 2.5x = -5 + -17 Combine like terms: 17 + -17 = 0 0 + 2.5x = -5 + -17 2.5x = -5 + -17 Combine like terms: -5 + -17 = -22 2.5x = -22 Divide each side by '2.5'. x = -8.8 Simplifying x = -8.8
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