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Simplifying -5(x + 7) = -25 + 5x Reorder the terms: -5(7 + x) = -25 + 5x (7 * -5 + x * -5) = -25 + 5x (-35 + -5x) = -25 + 5x Solving -35 + -5x = -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. -35 + -5x + -5x = -25 + 5x + -5x Combine like terms: -5x + -5x = -10x -35 + -10x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + -10x = -25 + 0 -35 + -10x = -25 Add '35' to each side of the equation. -35 + 35 + -10x = -25 + 35 Combine like terms: -35 + 35 = 0 0 + -10x = -25 + 35 -10x = -25 + 35 Combine like terms: -25 + 35 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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