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Simplifying 3x + 4(k + -2) = 4 + x Reorder the terms: 3x + 4(-2 + k) = 4 + x 3x + (-2 * 4 + k * 4) = 4 + x 3x + (-8 + 4k) = 4 + x Reorder the terms: -8 + 4k + 3x = 4 + x Solving -8 + 4k + 3x = 4 + x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4k + 8 + 3x = 4 + 8 + x Reorder the terms: -8 + 8 + 4k + 3x = 4 + 8 + x Combine like terms: -8 + 8 = 0 0 + 4k + 3x = 4 + 8 + x 4k + 3x = 4 + 8 + x Combine like terms: 4 + 8 = 12 4k + 3x = 12 + x Add '-3x' to each side of the equation. 4k + 3x + -3x = 12 + x + -3x Combine like terms: 3x + -3x = 0 4k + 0 = 12 + x + -3x 4k = 12 + x + -3x Combine like terms: x + -3x = -2x 4k = 12 + -2x Divide each side by '4'. k = 3 + -0.5x Simplifying k = 3 + -0.5x
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