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Simplifying 2x + -6 = 0.5x + 8 Reorder the terms: -6 + 2x = 0.5x + 8 Reorder the terms: -6 + 2x = 8 + 0.5x Solving -6 + 2x = 8 + 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. -6 + 2x + -0.5x = 8 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x -6 + 1.5x = 8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -6 + 1.5x = 8 + 0.0 -6 + 1.5x = 8 Add '6' to each side of the equation. -6 + 6 + 1.5x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 1.5x = 8 + 6 1.5x = 8 + 6 Combine like terms: 8 + 6 = 14 1.5x = 14 Divide each side by '1.5'. x = 9.333333333 Simplifying x = 9.333333333
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