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Simplifying 9x + -5 = 0.5x + 46 Reorder the terms: -5 + 9x = 0.5x + 46 Reorder the terms: -5 + 9x = 46 + 0.5x Solving -5 + 9x = 46 + 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. -5 + 9x + -0.5x = 46 + 0.5x + -0.5x Combine like terms: 9x + -0.5x = 8.5x -5 + 8.5x = 46 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -5 + 8.5x = 46 + 0.0 -5 + 8.5x = 46 Add '5' to each side of the equation. -5 + 5 + 8.5x = 46 + 5 Combine like terms: -5 + 5 = 0 0 + 8.5x = 46 + 5 8.5x = 46 + 5 Combine like terms: 46 + 5 = 51 8.5x = 51 Divide each side by '8.5'. x = 6 Simplifying x = 6
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