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Simplifying x2 + -10x + 25 = x2 + x + -30 Reorder the terms: 25 + -10x + x2 = x2 + x + -30 Reorder the terms: 25 + -10x + x2 = -30 + x + x2 Add '-1x2' to each side of the equation. 25 + -10x + x2 + -1x2 = -30 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + -10x + 0 = -30 + x + x2 + -1x2 25 + -10x = -30 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + -10x = -30 + x + 0 25 + -10x = -30 + x Solving 25 + -10x = -30 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 25 + -10x + -1x = -30 + x + -1x Combine like terms: -10x + -1x = -11x 25 + -11x = -30 + x + -1x Combine like terms: x + -1x = 0 25 + -11x = -30 + 0 25 + -11x = -30 Add '-25' to each side of the equation. 25 + -25 + -11x = -30 + -25 Combine like terms: 25 + -25 = 0 0 + -11x = -30 + -25 -11x = -30 + -25 Combine like terms: -30 + -25 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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