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Simplifying 0.5(6 + -4x) = 12 (6 * 0.5 + -4x * 0.5) = 12 (3 + -2x) = 12 Solving 3 + -2x = 12 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 + -2x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 12 + -3 -2x = 12 + -3 Combine like terms: 12 + -3 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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