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Simplifying 7(x + 7) = -7(x + 5) Reorder the terms: 7(7 + x) = -7(x + 5) (7 * 7 + x * 7) = -7(x + 5) (49 + 7x) = -7(x + 5) Reorder the terms: 49 + 7x = -7(5 + x) 49 + 7x = (5 * -7 + x * -7) 49 + 7x = (-35 + -7x) Solving 49 + 7x = -35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 49 + 7x + 7x = -35 + -7x + 7x Combine like terms: 7x + 7x = 14x 49 + 14x = -35 + -7x + 7x Combine like terms: -7x + 7x = 0 49 + 14x = -35 + 0 49 + 14x = -35 Add '-49' to each side of the equation. 49 + -49 + 14x = -35 + -49 Combine like terms: 49 + -49 = 0 0 + 14x = -35 + -49 14x = -35 + -49 Combine like terms: -35 + -49 = -84 14x = -84 Divide each side by '14'. x = -6 Simplifying x = -6
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