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Simplifying 6x + 2(3x + 3) = 114 Reorder the terms: 6x + 2(3 + 3x) = 114 6x + (3 * 2 + 3x * 2) = 114 6x + (6 + 6x) = 114 Reorder the terms: 6 + 6x + 6x = 114 Combine like terms: 6x + 6x = 12x 6 + 12x = 114 Solving 6 + 12x = 114 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 + 12x = 114 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 114 + -6 12x = 114 + -6 Combine like terms: 114 + -6 = 108 12x = 108 Divide each side by '12'. x = 9 Simplifying x = 9
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