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