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Simplifying -2 + 5(x + 4) = 6k + 12 Reorder the terms: -2 + 5(4 + x) = 6k + 12 -2 + (4 * 5 + x * 5) = 6k + 12 -2 + (20 + 5x) = 6k + 12 Combine like terms: -2 + 20 = 18 18 + 5x = 6k + 12 Reorder the terms: 18 + 5x = 12 + 6k Solving 18 + 5x = 12 + 6k 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 + 5x = 12 + -18 + 6k Combine like terms: 18 + -18 = 0 0 + 5x = 12 + -18 + 6k 5x = 12 + -18 + 6k Combine like terms: 12 + -18 = -6 5x = -6 + 6k Divide each side by '5'. x = -1.2 + 1.2k Simplifying x = -1.2 + 1.2k
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