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Simplifying 5x + 35 = -7(x + 7) Reorder the terms: 35 + 5x = -7(x + 7) Reorder the terms: 35 + 5x = -7(7 + x) 35 + 5x = (7 * -7 + x * -7) 35 + 5x = (-49 + -7x) Solving 35 + 5x = -49 + -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 + 5x + 7x = -49 + -7x + 7x Combine like terms: 5x + 7x = 12x 35 + 12x = -49 + -7x + 7x Combine like terms: -7x + 7x = 0 35 + 12x = -49 + 0 35 + 12x = -49 Add '-35' to each side of the equation. 35 + -35 + 12x = -49 + -35 Combine like terms: 35 + -35 = 0 0 + 12x = -49 + -35 12x = -49 + -35 Combine like terms: -49 + -35 = -84 12x = -84 Divide each side by '12'. x = -7 Simplifying x = -7
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