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Simplifying 6x + 3(2x + 10) = 114 Reorder the terms: 6x + 3(10 + 2x) = 114 6x + (10 * 3 + 2x * 3) = 114 6x + (30 + 6x) = 114 Reorder the terms: 30 + 6x + 6x = 114 Combine like terms: 6x + 6x = 12x 30 + 12x = 114 Solving 30 + 12x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 12x = 114 + -30 Combine like terms: 30 + -30 = 0 0 + 12x = 114 + -30 12x = 114 + -30 Combine like terms: 114 + -30 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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