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Simplifying 2x = 0.5(x + 8) + -2 Reorder the terms: 2x = 0.5(8 + x) + -2 2x = (8 * 0.5 + x * 0.5) + -2 2x = (4 + 0.5x) + -2 Reorder the terms: 2x = 4 + -2 + 0.5x Combine like terms: 4 + -2 = 2 2x = 2 + 0.5x Solving 2x = 2 + 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. 2x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x 1.5x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.5x = 2 + 0.0 1.5x = 2 Divide each side by '1.5'. x = 1.333333333 Simplifying x = 1.333333333
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