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Simplifying 0.5(3x + -6) = (x + -2) Reorder the terms: 0.5(-6 + 3x) = (x + -2) (-6 * 0.5 + 3x * 0.5) = (x + -2) (-3 + 1.5x) = (x + -2) Reorder the terms: -3 + 1.5x = (-2 + x) Remove parenthesis around (-2 + x) -3 + 1.5x = -2 + x Solving -3 + 1.5x = -2 + 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 + 1.5x + -1x = -2 + x + -1x Combine like terms: 1.5x + -1x = 0.5x -3 + 0.5x = -2 + x + -1x Combine like terms: x + -1x = 0 -3 + 0.5x = -2 + 0 -3 + 0.5x = -2 Add '3' to each side of the equation. -3 + 3 + 0.5x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 0.5x = -2 + 3 0.5x = -2 + 3 Combine like terms: -2 + 3 = 1 0.5x = 1 Divide each side by '0.5'. x = 2 Simplifying x = 2
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