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Simplifying -5(-5x + 5) = -7x + 7 Reorder the terms: -5(5 + -5x) = -7x + 7 (5 * -5 + -5x * -5) = -7x + 7 (-25 + 25x) = -7x + 7 Reorder the terms: -25 + 25x = 7 + -7x Solving -25 + 25x = 7 + -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 + 25x + 7x = 7 + -7x + 7x Combine like terms: 25x + 7x = 32x -25 + 32x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -25 + 32x = 7 + 0 -25 + 32x = 7 Add '25' to each side of the equation. -25 + 25 + 32x = 7 + 25 Combine like terms: -25 + 25 = 0 0 + 32x = 7 + 25 32x = 7 + 25 Combine like terms: 7 + 25 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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