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Simplifying -5(3 + -7x) = 39 + 8x (3 * -5 + -7x * -5) = 39 + 8x (-15 + 35x) = 39 + 8x Solving -15 + 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. -15 + 35x + -8x = 39 + 8x + -8x Combine like terms: 35x + -8x = 27x -15 + 27x = 39 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 27x = 39 + 0 -15 + 27x = 39 Add '15' to each side of the equation. -15 + 15 + 27x = 39 + 15 Combine like terms: -15 + 15 = 0 0 + 27x = 39 + 15 27x = 39 + 15 Combine like terms: 39 + 15 = 54 27x = 54 Divide each side by '27'. x = 2 Simplifying x = 2
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