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Simplifying 5(x + 5) = -7(5 + x) Reorder the terms: 5(5 + x) = -7(5 + x) (5 * 5 + x * 5) = -7(5 + x) (25 + 5x) = -7(5 + x) 25 + 5x = (5 * -7 + x * -7) 25 + 5x = (-35 + -7x) Solving 25 + 5x = -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. 25 + 5x + 7x = -35 + -7x + 7x Combine like terms: 5x + 7x = 12x 25 + 12x = -35 + -7x + 7x Combine like terms: -7x + 7x = 0 25 + 12x = -35 + 0 25 + 12x = -35 Add '-25' to each side of the equation. 25 + -25 + 12x = -35 + -25 Combine like terms: 25 + -25 = 0 0 + 12x = -35 + -25 12x = -35 + -25 Combine like terms: -35 + -25 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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