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Simplifying 7(x + 4) + -7 = -5(x + 5) Reorder the terms: 7(4 + x) + -7 = -5(x + 5) (4 * 7 + x * 7) + -7 = -5(x + 5) (28 + 7x) + -7 = -5(x + 5) Reorder the terms: 28 + -7 + 7x = -5(x + 5) Combine like terms: 28 + -7 = 21 21 + 7x = -5(x + 5) Reorder the terms: 21 + 7x = -5(5 + x) 21 + 7x = (5 * -5 + x * -5) 21 + 7x = (-25 + -5x) Solving 21 + 7x = -25 + -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. 21 + 7x + 5x = -25 + -5x + 5x Combine like terms: 7x + 5x = 12x 21 + 12x = -25 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + 12x = -25 + 0 21 + 12x = -25 Add '-21' to each side of the equation. 21 + -21 + 12x = -25 + -21 Combine like terms: 21 + -21 = 0 0 + 12x = -25 + -21 12x = -25 + -21 Combine like terms: -25 + -21 = -46 12x = -46 Divide each side by '12'. x = -3.833333333 Simplifying x = -3.833333333
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