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Simplifying 5x + 7 + 3k = -8 + 3x Reorder the terms: 7 + 3k + 5x = -8 + 3x Solving 7 + 3k + 5x = -8 + 3x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 3k + -7 + 5x = -8 + -7 + 3x Reorder the terms: 7 + -7 + 3k + 5x = -8 + -7 + 3x Combine like terms: 7 + -7 = 0 0 + 3k + 5x = -8 + -7 + 3x 3k + 5x = -8 + -7 + 3x Combine like terms: -8 + -7 = -15 3k + 5x = -15 + 3x Add '-5x' to each side of the equation. 3k + 5x + -5x = -15 + 3x + -5x Combine like terms: 5x + -5x = 0 3k + 0 = -15 + 3x + -5x 3k = -15 + 3x + -5x Combine like terms: 3x + -5x = -2x 3k = -15 + -2x Divide each side by '3'. k = -5 + -0.6666666667x Simplifying k = -5 + -0.6666666667x
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