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Simplifying 6x + 3(2x + 14) = 114 Reorder the terms: 6x + 3(14 + 2x) = 114 6x + (14 * 3 + 2x * 3) = 114 6x + (42 + 6x) = 114 Reorder the terms: 42 + 6x + 6x = 114 Combine like terms: 6x + 6x = 12x 42 + 12x = 114 Solving 42 + 12x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 12x = 114 + -42 Combine like terms: 42 + -42 = 0 0 + 12x = 114 + -42 12x = 114 + -42 Combine like terms: 114 + -42 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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