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Simplifying -15x + 18x + 6 = 2k + 8x Reorder the terms: 6 + -15x + 18x = 2k + 8x Combine like terms: -15x + 18x = 3x 6 + 3x = 2k + 8x Solving 6 + 3x = 2k + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 3x + -8x = 2k + 8x + -8x Combine like terms: 3x + -8x = -5x 6 + -5x = 2k + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -5x = 2k + 0 6 + -5x = 2k Add '-6' to each side of the equation. 6 + -6 + -5x = -6 + 2k Combine like terms: 6 + -6 = 0 0 + -5x = -6 + 2k -5x = -6 + 2k Divide each side by '-5'. x = 1.2 + -0.4k Simplifying x = 1.2 + -0.4k
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