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Simplifying 0.5(x + -6) = 6 + 5x Reorder the terms: 0.5(-6 + x) = 6 + 5x (-6 * 0.5 + x * 0.5) = 6 + 5x (-3 + 0.5x) = 6 + 5x Solving -3 + 0.5x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 0.5x + -5x = 6 + 5x + -5x Combine like terms: 0.5x + -5x = -4.5x -3 + -4.5x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -4.5x = 6 + 0 -3 + -4.5x = 6 Add '3' to each side of the equation. -3 + 3 + -4.5x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -4.5x = 6 + 3 -4.5x = 6 + 3 Combine like terms: 6 + 3 = 9 -4.5x = 9 Divide each side by '-4.5'. x = -2 Simplifying x = -2
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