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Simplifying 0.5x + 9 = 4.5x + 17 Reorder the terms: 9 + 0.5x = 4.5x + 17 Reorder the terms: 9 + 0.5x = 17 + 4.5x Solving 9 + 0.5x = 17 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 9 + 0.5x + -4.5x = 17 + 4.5x + -4.5x Combine like terms: 0.5x + -4.5x = -4x 9 + -4x = 17 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 9 + -4x = 17 + 0.0 9 + -4x = 17 Add '-9' to each side of the equation. 9 + -9 + -4x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 17 + -9 -4x = 17 + -9 Combine like terms: 17 + -9 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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