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Simplifying 4k + 12 + -1x = 42 Reorder the terms: 12 + 4k + -1x = 42 Solving 12 + 4k + -1x = 42 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4k + -12 + -1x = 42 + -12 Reorder the terms: 12 + -12 + 4k + -1x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 4k + -1x = 42 + -12 4k + -1x = 42 + -12 Combine like terms: 42 + -12 = 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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