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Simplifying 3x + 8 = (-0.5x) + 9 Reorder the terms: 8 + 3x = (-0.5x) + 9 Reorder the terms: 8 + 3x = 9 + (-0.5x) Solving 8 + 3x = 9 + (-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. 8 + 3x + (0.5x) = 9 + (-0.5x) + (0.5x) Combine like terms: 3x + (0.5x) = 3.5x 8 + 3.5x = 9 + (-0.5x) + (0.5x) Combine like terms: (-0.5x) + (0.5x) = 0.0 8 + 3.5x = 9 + 0.0 8 + 3.5x = 9 Add '-8' to each side of the equation. 8 + -8 + 3.5x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 3.5x = 9 + -8 3.5x = 9 + -8 Combine like terms: 9 + -8 = 1 3.5x = 1 Divide each side by '3.5'. x = 0.2857142857 Simplifying x = 0.2857142857
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