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Simplifying x2 + -1(x2 + -10x + 25) = 45 Reorder the terms: x2 + -1(25 + -10x + x2) = 45 x2 + (25 * -1 + -10x * -1 + x2 * -1) = 45 x2 + (-25 + 10x + -1x2) = 45 Reorder the terms: -25 + 10x + x2 + -1x2 = 45 Combine like terms: x2 + -1x2 = 0 -25 + 10x + 0 = 45 -25 + 10x = 45 Solving -25 + 10x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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