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Simplifying 0.5(6x + -20) + 32 = 64 Reorder the terms: 0.5(-20 + 6x) + 32 = 64 (-20 * 0.5 + 6x * 0.5) + 32 = 64 (-10 + 3x) + 32 = 64 Reorder the terms: -10 + 32 + 3x = 64 Combine like terms: -10 + 32 = 22 22 + 3x = 64 Solving 22 + 3x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 3x = 64 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 64 + -22 3x = 64 + -22 Combine like terms: 64 + -22 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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