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Simplifying 5(3x + 7) = 3(5 + k) + 4 Reorder the terms: 5(7 + 3x) = 3(5 + k) + 4 (7 * 5 + 3x * 5) = 3(5 + k) + 4 (35 + 15x) = 3(5 + k) + 4 35 + 15x = (5 * 3 + k * 3) + 4 35 + 15x = (15 + 3k) + 4 Reorder the terms: 35 + 15x = 15 + 4 + 3k Combine like terms: 15 + 4 = 19 35 + 15x = 19 + 3k Solving 35 + 15x = 19 + 3k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 15x = 19 + -35 + 3k Combine like terms: 35 + -35 = 0 0 + 15x = 19 + -35 + 3k 15x = 19 + -35 + 3k Combine like terms: 19 + -35 = -16 15x = -16 + 3k Divide each side by '15'. x = -1.066666667 + 0.2k Simplifying x = -1.066666667 + 0.2k
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