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Simplifying 7(x + 5) = -7(x + 5) Reorder the terms: 7(5 + x) = -7(x + 5) (5 * 7 + x * 7) = -7(x + 5) (35 + 7x) = -7(x + 5) Reorder the terms: 35 + 7x = -7(5 + x) 35 + 7x = (5 * -7 + x * -7) 35 + 7x = (-35 + -7x) Solving 35 + 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. 35 + 7x + 7x = -35 + -7x + 7x Combine like terms: 7x + 7x = 14x 35 + 14x = -35 + -7x + 7x Combine like terms: -7x + 7x = 0 35 + 14x = -35 + 0 35 + 14x = -35 Add '-35' to each side of the equation. 35 + -35 + 14x = -35 + -35 Combine like terms: 35 + -35 = 0 0 + 14x = -35 + -35 14x = -35 + -35 Combine like terms: -35 + -35 = -70 14x = -70 Divide each side by '14'. x = -5 Simplifying x = -5
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