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Simplifying -7(x + 7) = 5x + 35 Reorder the terms: -7(7 + x) = 5x + 35 (7 * -7 + x * -7) = 5x + 35 (-49 + -7x) = 5x + 35 Reorder the terms: -49 + -7x = 35 + 5x Solving -49 + -7x = 35 + 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. -49 + -7x + -5x = 35 + 5x + -5x Combine like terms: -7x + -5x = -12x -49 + -12x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -49 + -12x = 35 + 0 -49 + -12x = 35 Add '49' to each side of the equation. -49 + 49 + -12x = 35 + 49 Combine like terms: -49 + 49 = 0 0 + -12x = 35 + 49 -12x = 35 + 49 Combine like terms: 35 + 49 = 84 -12x = 84 Divide each side by '-12'. x = -7 Simplifying x = -7
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