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Simplifying 3(7 + x) = 3x + k (7 * 3 + x * 3) = 3x + k (21 + 3x) = 3x + k Reorder the terms: 21 + 3x = k + 3x Add '-3x' to each side of the equation. 21 + 3x + -3x = k + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 0 = k + 3x + -3x 21 = k + 3x + -3x Combine like terms: 3x + -3x = 0 21 = k + 0 21 = k Solving 21 = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 21 + -1k = k + -1k Combine like terms: k + -1k = 0 21 + -1k = 0 Add '-21' to each side of the equation. 21 + -21 + -1k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1k = 0 + -21 -1k = 0 + -21 Combine like terms: 0 + -21 = -21 -1k = -21 Divide each side by '-1'. k = 21 Simplifying k = 21
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