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Simplifying 0.5(12x + 8 + -4x + 4) = 50 Reorder the terms: 0.5(8 + 4 + 12x + -4x) = 50 Combine like terms: 8 + 4 = 12 0.5(12 + 12x + -4x) = 50 Combine like terms: 12x + -4x = 8x 0.5(12 + 8x) = 50 (12 * 0.5 + 8x * 0.5) = 50 (6 + 4x) = 50 Solving 6 + 4x = 50 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 = 50 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 50 + -6 4x = 50 + -6 Combine like terms: 50 + -6 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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