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Simplifying (5x2 + -4) + -1(x2 + -8x + 3) + -1(4x2 + -4x + 2) = 0 Reorder the terms: (-4 + 5x2) + -1(x2 + -8x + 3) + -1(4x2 + -4x + 2) = 0 Remove parenthesis around (-4 + 5x2) -4 + 5x2 + -1(x2 + -8x + 3) + -1(4x2 + -4x + 2) = 0 Reorder the terms: -4 + 5x2 + -1(3 + -8x + x2) + -1(4x2 + -4x + 2) = 0 -4 + 5x2 + (3 * -1 + -8x * -1 + x2 * -1) + -1(4x2 + -4x + 2) = 0 -4 + 5x2 + (-3 + 8x + -1x2) + -1(4x2 + -4x + 2) = 0 Reorder the terms: -4 + 5x2 + -3 + 8x + -1x2 + -1(2 + -4x + 4x2) = 0 -4 + 5x2 + -3 + 8x + -1x2 + (2 * -1 + -4x * -1 + 4x2 * -1) = 0 -4 + 5x2 + -3 + 8x + -1x2 + (-2 + 4x + -4x2) = 0 Reorder the terms: -4 + -3 + -2 + 8x + 4x + 5x2 + -1x2 + -4x2 = 0 Combine like terms: -4 + -3 = -7 -7 + -2 + 8x + 4x + 5x2 + -1x2 + -4x2 = 0 Combine like terms: -7 + -2 = -9 -9 + 8x + 4x + 5x2 + -1x2 + -4x2 = 0 Combine like terms: 8x + 4x = 12x -9 + 12x + 5x2 + -1x2 + -4x2 = 0 Combine like terms: 5x2 + -1x2 = 4x2 -9 + 12x + 4x2 + -4x2 = 0 Combine like terms: 4x2 + -4x2 = 0 -9 + 12x + 0 = 0 -9 + 12x = 0 Solving -9 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 12x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 0 + 9 12x = 0 + 9 Combine like terms: 0 + 9 = 9 12x = 9 Divide each side by '12'. x = 0.75 Simplifying x = 0.75
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