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Simplifying 3x + 7 + -1 = 3(5x + k) + 4 Reorder the terms: 7 + -1 + 3x = 3(5x + k) + 4 Combine like terms: 7 + -1 = 6 6 + 3x = 3(5x + k) + 4 Reorder the terms: 6 + 3x = 3(k + 5x) + 4 6 + 3x = (k * 3 + 5x * 3) + 4 6 + 3x = (3k + 15x) + 4 Reorder the terms: 6 + 3x = 4 + 3k + 15x Solving 6 + 3x = 4 + 3k + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + 3x + -15x = 4 + 3k + 15x + -15x Combine like terms: 3x + -15x = -12x 6 + -12x = 4 + 3k + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -12x = 4 + 3k + 0 6 + -12x = 4 + 3k Add '-6' to each side of the equation. 6 + -6 + -12x = 4 + -6 + 3k Combine like terms: 6 + -6 = 0 0 + -12x = 4 + -6 + 3k -12x = 4 + -6 + 3k Combine like terms: 4 + -6 = -2 -12x = -2 + 3k Divide each side by '-12'. x = 0.1666666667 + -0.25k Simplifying x = 0.1666666667 + -0.25k
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