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Simplifying 2x + 2(5x + 9) = 114 Reorder the terms: 2x + 2(9 + 5x) = 114 2x + (9 * 2 + 5x * 2) = 114 2x + (18 + 10x) = 114 Reorder the terms: 18 + 2x + 10x = 114 Combine like terms: 2x + 10x = 12x 18 + 12x = 114 Solving 18 + 12x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12x = 114 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = 114 + -18 12x = 114 + -18 Combine like terms: 114 + -18 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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