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Simplifying 7(5x + 6) = -39 + 8x Reorder the terms: 7(6 + 5x) = -39 + 8x (6 * 7 + 5x * 7) = -39 + 8x (42 + 35x) = -39 + 8x Solving 42 + 35x = -39 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 42 + 35x + -8x = -39 + 8x + -8x Combine like terms: 35x + -8x = 27x 42 + 27x = -39 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + 27x = -39 + 0 42 + 27x = -39 Add '-42' to each side of the equation. 42 + -42 + 27x = -39 + -42 Combine like terms: 42 + -42 = 0 0 + 27x = -39 + -42 27x = -39 + -42 Combine like terms: -39 + -42 = -81 27x = -81 Divide each side by '27'. x = -3 Simplifying x = -3
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