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Simplifying (x2 + -5x + 1) + (4x2 + -2x + 2) + -1(5x2 + -4) = 0 Reorder the terms: (1 + -5x + x2) + (4x2 + -2x + 2) + -1(5x2 + -4) = 0 Remove parenthesis around (1 + -5x + x2) 1 + -5x + x2 + (4x2 + -2x + 2) + -1(5x2 + -4) = 0 Reorder the terms: 1 + -5x + x2 + (2 + -2x + 4x2) + -1(5x2 + -4) = 0 Remove parenthesis around (2 + -2x + 4x2) 1 + -5x + x2 + 2 + -2x + 4x2 + -1(5x2 + -4) = 0 Reorder the terms: 1 + -5x + x2 + 2 + -2x + 4x2 + -1(-4 + 5x2) = 0 1 + -5x + x2 + 2 + -2x + 4x2 + (-4 * -1 + 5x2 * -1) = 0 1 + -5x + x2 + 2 + -2x + 4x2 + (4 + -5x2) = 0 Reorder the terms: 1 + 2 + 4 + -5x + -2x + x2 + 4x2 + -5x2 = 0 Combine like terms: 1 + 2 = 3 3 + 4 + -5x + -2x + x2 + 4x2 + -5x2 = 0 Combine like terms: 3 + 4 = 7 7 + -5x + -2x + x2 + 4x2 + -5x2 = 0 Combine like terms: -5x + -2x = -7x 7 + -7x + x2 + 4x2 + -5x2 = 0 Combine like terms: x2 + 4x2 = 5x2 7 + -7x + 5x2 + -5x2 = 0 Combine like terms: 5x2 + -5x2 = 0 7 + -7x + 0 = 0 7 + -7x = 0 Solving 7 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -7x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 0 + -7 -7x = 0 + -7 Combine like terms: 0 + -7 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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