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Simplifying 2(x + k) = 5x + -66 Reorder the terms: 2(k + x) = 5x + -66 (k * 2 + x * 2) = 5x + -66 (2k + 2x) = 5x + -66 Reorder the terms: 2k + 2x = -66 + 5x Solving 2k + 2x = -66 + 5x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2x' to each side of the equation. 2k + 2x + -2x = -66 + 5x + -2x Combine like terms: 2x + -2x = 0 2k + 0 = -66 + 5x + -2x 2k = -66 + 5x + -2x Combine like terms: 5x + -2x = 3x 2k = -66 + 3x Divide each side by '2'. k = -33 + 1.5x Simplifying k = -33 + 1.5x
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