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Simplifying 12(2x + 11) = 12(2k + 12) Reorder the terms: 12(11 + 2x) = 12(2k + 12) (11 * 12 + 2x * 12) = 12(2k + 12) (132 + 24x) = 12(2k + 12) Reorder the terms: 132 + 24x = 12(12 + 2k) 132 + 24x = (12 * 12 + 2k * 12) 132 + 24x = (144 + 24k) Solving 132 + 24x = 144 + 24k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-132' to each side of the equation. 132 + -132 + 24x = 144 + -132 + 24k Combine like terms: 132 + -132 = 0 0 + 24x = 144 + -132 + 24k 24x = 144 + -132 + 24k Combine like terms: 144 + -132 = 12 24x = 12 + 24k Divide each side by '24'. x = 0.5 + k Simplifying x = 0.5 + k
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