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Simplifying 5(3(7) + 7) + -1 = 3(5x + k) + 4 Multiply 3 * 7 5(21 + 7) + -1 = 3(5x + k) + 4 Combine like terms: 21 + 7 = 28 5(28) + -1 = 3(5x + k) + 4 Multiply 5 * 28 140 + -1 = 3(5x + k) + 4 Combine like terms: 140 + -1 = 139 139 = 3(5x + k) + 4 Reorder the terms: 139 = 3(k + 5x) + 4 139 = (k * 3 + 5x * 3) + 4 139 = (3k + 15x) + 4 Reorder the terms: 139 = 4 + 3k + 15x Solving 139 = 4 + 3k + 15x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 139 + -3k = 4 + 3k + -3k + 15x Combine like terms: 3k + -3k = 0 139 + -3k = 4 + 0 + 15x 139 + -3k = 4 + 15x Add '-139' to each side of the equation. 139 + -139 + -3k = 4 + -139 + 15x Combine like terms: 139 + -139 = 0 0 + -3k = 4 + -139 + 15x -3k = 4 + -139 + 15x Combine like terms: 4 + -139 = -135 -3k = -135 + 15x Divide each side by '-3'. k = 45 + -5x Simplifying k = 45 + -5x
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