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Simplifying 0.5x + 46 = 9x + -5 Reorder the terms: 46 + 0.5x = 9x + -5 Reorder the terms: 46 + 0.5x = -5 + 9x Solving 46 + 0.5x = -5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 46 + 0.5x + -9x = -5 + 9x + -9x Combine like terms: 0.5x + -9x = -8.5x 46 + -8.5x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 46 + -8.5x = -5 + 0 46 + -8.5x = -5 Add '-46' to each side of the equation. 46 + -46 + -8.5x = -5 + -46 Combine like terms: 46 + -46 = 0 0 + -8.5x = -5 + -46 -8.5x = -5 + -46 Combine like terms: -5 + -46 = -51 -8.5x = -51 Divide each side by '-8.5'. x = 6 Simplifying x = 6
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