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Simplifying 3(x + 9) + 8 = 8k + -5(x + -4) Reorder the terms: 3(9 + x) + 8 = 8k + -5(x + -4) (9 * 3 + x * 3) + 8 = 8k + -5(x + -4) (27 + 3x) + 8 = 8k + -5(x + -4) Reorder the terms: 27 + 8 + 3x = 8k + -5(x + -4) Combine like terms: 27 + 8 = 35 35 + 3x = 8k + -5(x + -4) Reorder the terms: 35 + 3x = 8k + -5(-4 + x) 35 + 3x = 8k + (-4 * -5 + x * -5) 35 + 3x = 8k + (20 + -5x) Reorder the terms: 35 + 3x = 20 + 8k + -5x Solving 35 + 3x = 20 + 8k + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 35 + 3x + 5x = 20 + 8k + -5x + 5x Combine like terms: 3x + 5x = 8x 35 + 8x = 20 + 8k + -5x + 5x Combine like terms: -5x + 5x = 0 35 + 8x = 20 + 8k + 0 35 + 8x = 20 + 8k Add '-35' to each side of the equation. 35 + -35 + 8x = 20 + -35 + 8k Combine like terms: 35 + -35 = 0 0 + 8x = 20 + -35 + 8k 8x = 20 + -35 + 8k Combine like terms: 20 + -35 = -15 8x = -15 + 8k Divide each side by '8'. x = -1.875 + k Simplifying x = -1.875 + k
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