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Simplifying x + -0.5(k + -3x) = 1.5x + -1k x + (k * -0.5 + -3x * -0.5) = 1.5x + -1k x + (-0.5k + 1.5x) = 1.5x + -1k Reorder the terms: -0.5k + x + 1.5x = 1.5x + -1k Combine like terms: x + 1.5x = 2.5x -0.5k + 2.5x = 1.5x + -1k Reorder the terms: -0.5k + 2.5x = -1k + 1.5x Solving -0.5k + 2.5x = -1k + 1.5x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -0.5k + k + 2.5x = -1k + k + 1.5x Combine like terms: -0.5k + k = 0.5k 0.5k + 2.5x = -1k + k + 1.5x Combine like terms: -1k + k = 0 0.5k + 2.5x = 0 + 1.5x 0.5k + 2.5x = 1.5x Add '-2.5x' to each side of the equation. 0.5k + 2.5x + -2.5x = 1.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 0.5k + 0.0 = 1.5x + -2.5x 0.5k = 1.5x + -2.5x Combine like terms: 1.5x + -2.5x = -1x 0.5k = -1x Divide each side by '0.5'. k = -2x Simplifying k = -2x
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