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Simplifying -7(7 + -5x) = 27x + 7 (7 * -7 + -5x * -7) = 27x + 7 (-49 + 35x) = 27x + 7 Reorder the terms: -49 + 35x = 7 + 27x Solving -49 + 35x = 7 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -49 + 35x + -27x = 7 + 27x + -27x Combine like terms: 35x + -27x = 8x -49 + 8x = 7 + 27x + -27x Combine like terms: 27x + -27x = 0 -49 + 8x = 7 + 0 -49 + 8x = 7 Add '49' to each side of the equation. -49 + 49 + 8x = 7 + 49 Combine like terms: -49 + 49 = 0 0 + 8x = 7 + 49 8x = 7 + 49 Combine like terms: 7 + 49 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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