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Simplifying 150 + -1x + -2k = 120 + 2k Reorder the terms: 150 + -2k + -1x = 120 + 2k Solving 150 + -2k + -1x = 120 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 150 + -2k + -2k + -1x = 120 + 2k + -2k Combine like terms: -2k + -2k = -4k 150 + -4k + -1x = 120 + 2k + -2k Combine like terms: 2k + -2k = 0 150 + -4k + -1x = 120 + 0 150 + -4k + -1x = 120 Add '-150' to each side of the equation. 150 + -4k + -150 + -1x = 120 + -150 Reorder the terms: 150 + -150 + -4k + -1x = 120 + -150 Combine like terms: 150 + -150 = 0 0 + -4k + -1x = 120 + -150 -4k + -1x = 120 + -150 Combine like terms: 120 + -150 = -30 -4k + -1x = -30 Add 'x' to each side of the equation. -4k + -1x + x = -30 + x Combine like terms: -1x + x = 0 -4k + 0 = -30 + x -4k = -30 + x Divide each side by '-4'. k = 7.5 + -0.25x Simplifying k = 7.5 + -0.25x
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