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Simplifying 0.5(2x + -6) = 1 + -6 Reorder the terms: 0.5(-6 + 2x) = 1 + -6 (-6 * 0.5 + 2x * 0.5) = 1 + -6 (-3 + 1x) = 1 + -6 Combine like terms: 1 + -6 = -5 -3 + 1x = -5 Solving -3 + 1x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -5 + 3 1x = -5 + 3 Combine like terms: -5 + 3 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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