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Simplifying 5x + 25 = -7(x + -7) Reorder the terms: 25 + 5x = -7(x + -7) Reorder the terms: 25 + 5x = -7(-7 + x) 25 + 5x = (-7 * -7 + x * -7) 25 + 5x = (49 + -7x) Solving 25 + 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. 25 + 5x + 7x = 49 + -7x + 7x Combine like terms: 5x + 7x = 12x 25 + 12x = 49 + -7x + 7x Combine like terms: -7x + 7x = 0 25 + 12x = 49 + 0 25 + 12x = 49 Add '-25' to each side of the equation. 25 + -25 + 12x = 49 + -25 Combine like terms: 25 + -25 = 0 0 + 12x = 49 + -25 12x = 49 + -25 Combine like terms: 49 + -25 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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