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Simplifying 4(5 + 3x) = 116 (5 * 4 + 3x * 4) = 116 (20 + 12x) = 116 Solving 20 + 12x = 116 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 12x = 116 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 116 + -20 12x = 116 + -20 Combine like terms: 116 + -20 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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