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Simplifying 2(4x + 9) = 114 Reorder the terms: 2(9 + 4x) = 114 (9 * 2 + 4x * 2) = 114 (18 + 8x) = 114 Solving 18 + 8x = 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 + 8x = 114 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 114 + -18 8x = 114 + -18 Combine like terms: 114 + -18 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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