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Simplifying x2 + -4x + 1 = x2 + -3x + 10 Reorder the terms: 1 + -4x + x2 = x2 + -3x + 10 Reorder the terms: 1 + -4x + x2 = 10 + -3x + x2 Add '-1x2' to each side of the equation. 1 + -4x + x2 + -1x2 = 10 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + -4x + 0 = 10 + -3x + x2 + -1x2 1 + -4x = 10 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + -4x = 10 + -3x + 0 1 + -4x = 10 + -3x Solving 1 + -4x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + -4x + 3x = 10 + -3x + 3x Combine like terms: -4x + 3x = -1x 1 + -1x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + -1x = 10 + 0 1 + -1x = 10 Add '-1' to each side of the equation. 1 + -1 + -1x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 10 + -1 -1x = 10 + -1 Combine like terms: 10 + -1 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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