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Simplifying x + (3x + -18) + (k + -6) = 101 Reorder the terms: x + (-18 + 3x) + (k + -6) = 101 Remove parenthesis around (-18 + 3x) x + -18 + 3x + (k + -6) = 101 Reorder the terms: x + -18 + 3x + (-6 + k) = 101 Remove parenthesis around (-6 + k) x + -18 + 3x + -6 + k = 101 Reorder the terms: -18 + -6 + k + x + 3x = 101 Combine like terms: -18 + -6 = -24 -24 + k + x + 3x = 101 Combine like terms: x + 3x = 4x -24 + k + 4x = 101 Solving -24 + k + 4x = 101 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + k + 24 + 4x = 101 + 24 Reorder the terms: -24 + 24 + k + 4x = 101 + 24 Combine like terms: -24 + 24 = 0 0 + k + 4x = 101 + 24 k + 4x = 101 + 24 Combine like terms: 101 + 24 = 125 k + 4x = 125 Add '-4x' to each side of the equation. k + 4x + -4x = 125 + -4x Combine like terms: 4x + -4x = 0 k + 0 = 125 + -4x k = 125 + -4x Simplifying k = 125 + -4x
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