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Simplifying (2x + 1)(3x + -4) + -1(6x2 + x + -3) = 0 Reorder the terms: (1 + 2x)(3x + -4) + -1(6x2 + x + -3) = 0 Reorder the terms: (1 + 2x)(-4 + 3x) + -1(6x2 + x + -3) = 0 Multiply (1 + 2x) * (-4 + 3x) (1(-4 + 3x) + 2x * (-4 + 3x)) + -1(6x2 + x + -3) = 0 ((-4 * 1 + 3x * 1) + 2x * (-4 + 3x)) + -1(6x2 + x + -3) = 0 ((-4 + 3x) + 2x * (-4 + 3x)) + -1(6x2 + x + -3) = 0 (-4 + 3x + (-4 * 2x + 3x * 2x)) + -1(6x2 + x + -3) = 0 (-4 + 3x + (-8x + 6x2)) + -1(6x2 + x + -3) = 0 Combine like terms: 3x + -8x = -5x (-4 + -5x + 6x2) + -1(6x2 + x + -3) = 0 Reorder the terms: -4 + -5x + 6x2 + -1(-3 + x + 6x2) = 0 -4 + -5x + 6x2 + (-3 * -1 + x * -1 + 6x2 * -1) = 0 -4 + -5x + 6x2 + (3 + -1x + -6x2) = 0 Reorder the terms: -4 + 3 + -5x + -1x + 6x2 + -6x2 = 0 Combine like terms: -4 + 3 = -1 -1 + -5x + -1x + 6x2 + -6x2 = 0 Combine like terms: -5x + -1x = -6x -1 + -6x + 6x2 + -6x2 = 0 Combine like terms: 6x2 + -6x2 = 0 -1 + -6x + 0 = 0 -1 + -6x = 0 Solving -1 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 0 + 1 -6x = 0 + 1 Combine like terms: 0 + 1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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