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Simplifying (x2 + -5x + 1) + -1(x2 + -2x + -4) = 0 Reorder the terms: (1 + -5x + x2) + -1(x2 + -2x + -4) = 0 Remove parenthesis around (1 + -5x + x2) 1 + -5x + x2 + -1(x2 + -2x + -4) = 0 Reorder the terms: 1 + -5x + x2 + -1(-4 + -2x + x2) = 0 1 + -5x + x2 + (-4 * -1 + -2x * -1 + x2 * -1) = 0 1 + -5x + x2 + (4 + 2x + -1x2) = 0 Reorder the terms: 1 + 4 + -5x + 2x + x2 + -1x2 = 0 Combine like terms: 1 + 4 = 5 5 + -5x + 2x + x2 + -1x2 = 0 Combine like terms: -5x + 2x = -3x 5 + -3x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 5 + -3x + 0 = 0 5 + -3x = 0 Solving 5 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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