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Simplifying 0.5(4x + 12) + 2x = 0 Reorder the terms: 0.5(12 + 4x) + 2x = 0 (12 * 0.5 + 4x * 0.5) + 2x = 0 (6 + 2x) + 2x = 0 Combine like terms: 2x + 2x = 4x 6 + 4x = 0 Solving 6 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 0 + -6 4x = 0 + -6 Combine like terms: 0 + -6 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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