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Simplifying 4(x + 10) = 50 + 2k Reorder the terms: 4(10 + x) = 50 + 2k (10 * 4 + x * 4) = 50 + 2k (40 + 4x) = 50 + 2k Solving 40 + 4x = 50 + 2k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 4x = 50 + -40 + 2k Combine like terms: 40 + -40 = 0 0 + 4x = 50 + -40 + 2k 4x = 50 + -40 + 2k Combine like terms: 50 + -40 = 10 4x = 10 + 2k Divide each side by '4'. x = 2.5 + 0.5k Simplifying x = 2.5 + 0.5k
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