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Simplifying 0.5(2x + -4) + 6 = 12 Reorder the terms: 0.5(-4 + 2x) + 6 = 12 (-4 * 0.5 + 2x * 0.5) + 6 = 12 (-2 + 1x) + 6 = 12 Reorder the terms: -2 + 6 + 1x = 12 Combine like terms: -2 + 6 = 4 4 + 1x = 12 Solving 4 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 12 + -4 1x = 12 + -4 Combine like terms: 12 + -4 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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