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Simplifying 0.5x + -9 = 21 + 9x Reorder the terms: -9 + 0.5x = 21 + 9x Solving -9 + 0.5x = 21 + 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. -9 + 0.5x + -9x = 21 + 9x + -9x Combine like terms: 0.5x + -9x = -8.5x -9 + -8.5x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + -8.5x = 21 + 0 -9 + -8.5x = 21 Add '9' to each side of the equation. -9 + 9 + -8.5x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -8.5x = 21 + 9 -8.5x = 21 + 9 Combine like terms: 21 + 9 = 30 -8.5x = 30 Divide each side by '-8.5'. x = -3.529411765 Simplifying x = -3.529411765
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