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Simplifying 39 = 5(x + 6) + -8x Reorder the terms: 39 = 5(6 + x) + -8x 39 = (6 * 5 + x * 5) + -8x 39 = (30 + 5x) + -8x Combine like terms: 5x + -8x = -3x 39 = 30 + -3x Solving 39 = 30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 39 + 3x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 39 + 3x = 30 + 0 39 + 3x = 30 Add '-39' to each side of the equation. 39 + -39 + 3x = 30 + -39 Combine like terms: 39 + -39 = 0 0 + 3x = 30 + -39 3x = 30 + -39 Combine like terms: 30 + -39 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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