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Simplifying 0.5x + 9 = 2x + 0.5 Reorder the terms: 9 + 0.5x = 2x + 0.5 Reorder the terms: 9 + 0.5x = 0.5 + 2x Solving 9 + 0.5x = 0.5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 0.5x + -2x = 0.5 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 9 + -1.5x = 0.5 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -1.5x = 0.5 + 0 9 + -1.5x = 0.5 Add '-9' to each side of the equation. 9 + -9 + -1.5x = 0.5 + -9 Combine like terms: 9 + -9 = 0 0 + -1.5x = 0.5 + -9 -1.5x = 0.5 + -9 Combine like terms: 0.5 + -9 = -8.5 -1.5x = -8.5 Divide each side by '-1.5'. x = 5.666666667 Simplifying x = 5.666666667
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