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Simplifying 6(3 + 2x) + -2 = 52 (3 * 6 + 2x * 6) + -2 = 52 (18 + 12x) + -2 = 52 Reorder the terms: 18 + -2 + 12x = 52 Combine like terms: 18 + -2 = 16 16 + 12x = 52 Solving 16 + 12x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 12x = 52 + -16 Combine like terms: 16 + -16 = 0 0 + 12x = 52 + -16 12x = 52 + -16 Combine like terms: 52 + -16 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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