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Simplifying 4(2k + 1) = 5x + 3x + 9 Reorder the terms: 4(1 + 2k) = 5x + 3x + 9 (1 * 4 + 2k * 4) = 5x + 3x + 9 (4 + 8k) = 5x + 3x + 9 Reorder the terms: 4 + 8k = 9 + 5x + 3x Combine like terms: 5x + 3x = 8x 4 + 8k = 9 + 8x Solving 4 + 8k = 9 + 8x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8k = 9 + -4 + 8x Combine like terms: 4 + -4 = 0 0 + 8k = 9 + -4 + 8x 8k = 9 + -4 + 8x Combine like terms: 9 + -4 = 5 8k = 5 + 8x Divide each side by '8'. k = 0.625 + x Simplifying k = 0.625 + x
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