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Simplifying (7x + 7) + -1(5x + -5) = 0 Reorder the terms: (7 + 7x) + -1(5x + -5) = 0 Remove parenthesis around (7 + 7x) 7 + 7x + -1(5x + -5) = 0 Reorder the terms: 7 + 7x + -1(-5 + 5x) = 0 7 + 7x + (-5 * -1 + 5x * -1) = 0 7 + 7x + (5 + -5x) = 0 Reorder the terms: 7 + 5 + 7x + -5x = 0 Combine like terms: 7 + 5 = 12 12 + 7x + -5x = 0 Combine like terms: 7x + -5x = 2x 12 + 2x = 0 Solving 12 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 0 + -12 2x = 0 + -12 Combine like terms: 0 + -12 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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