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Simplifying 0.5(8 + -1x) = 6 (8 * 0.5 + -1x * 0.5) = 6 (4 + -0.5x) = 6 Solving 4 + -0.5x = 6 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 + -0.5x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -0.5x = 6 + -4 -0.5x = 6 + -4 Combine like terms: 6 + -4 = 2 -0.5x = 2 Divide each side by '-0.5'. x = -4 Simplifying x = -4
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