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Simplifying 4(3x + 2) + -6 = 46 Reorder the terms: 4(2 + 3x) + -6 = 46 (2 * 4 + 3x * 4) + -6 = 46 (8 + 12x) + -6 = 46 Reorder the terms: 8 + -6 + 12x = 46 Combine like terms: 8 + -6 = 2 2 + 12x = 46 Solving 2 + 12x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12x = 46 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 46 + -2 12x = 46 + -2 Combine like terms: 46 + -2 = 44 12x = 44 Divide each side by '12'. x = 3.666666667 Simplifying x = 3.666666667
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