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Simplifying 0.5(6x + -8) + 3x + 12 = 20 Reorder the terms: 0.5(-8 + 6x) + 3x + 12 = 20 (-8 * 0.5 + 6x * 0.5) + 3x + 12 = 20 (-4 + 3x) + 3x + 12 = 20 Reorder the terms: -4 + 12 + 3x + 3x = 20 Combine like terms: -4 + 12 = 8 8 + 3x + 3x = 20 Combine like terms: 3x + 3x = 6x 8 + 6x = 20 Solving 8 + 6x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 20 + -8 6x = 20 + -8 Combine like terms: 20 + -8 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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