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Simplifying 5(x + -5) = 45 + -5x Reorder the terms: 5(-5 + x) = 45 + -5x (-5 * 5 + x * 5) = 45 + -5x (-25 + 5x) = 45 + -5x Solving -25 + 5x = 45 + -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. -25 + 5x + 5x = 45 + -5x + 5x Combine like terms: 5x + 5x = 10x -25 + 10x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 -25 + 10x = 45 + 0 -25 + 10x = 45 Add '25' to each side of the equation. -25 + 25 + 10x = 45 + 25 Combine like terms: -25 + 25 = 0 0 + 10x = 45 + 25 10x = 45 + 25 Combine like terms: 45 + 25 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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