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Simplifying (3x + 1)(2x + -4) + -1x(6x + -7) = 0 Reorder the terms: (1 + 3x)(2x + -4) + -1x(6x + -7) = 0 Reorder the terms: (1 + 3x)(-4 + 2x) + -1x(6x + -7) = 0 Multiply (1 + 3x) * (-4 + 2x) (1(-4 + 2x) + 3x * (-4 + 2x)) + -1x(6x + -7) = 0 ((-4 * 1 + 2x * 1) + 3x * (-4 + 2x)) + -1x(6x + -7) = 0 ((-4 + 2x) + 3x * (-4 + 2x)) + -1x(6x + -7) = 0 (-4 + 2x + (-4 * 3x + 2x * 3x)) + -1x(6x + -7) = 0 (-4 + 2x + (-12x + 6x2)) + -1x(6x + -7) = 0 Combine like terms: 2x + -12x = -10x (-4 + -10x + 6x2) + -1x(6x + -7) = 0 Reorder the terms: -4 + -10x + 6x2 + -1x(-7 + 6x) = 0 -4 + -10x + 6x2 + (-7 * -1x + 6x * -1x) = 0 -4 + -10x + 6x2 + (7x + -6x2) = 0 Reorder the terms: -4 + -10x + 7x + 6x2 + -6x2 = 0 Combine like terms: -10x + 7x = -3x -4 + -3x + 6x2 + -6x2 = 0 Combine like terms: 6x2 + -6x2 = 0 -4 + -3x + 0 = 0 -4 + -3x = 0 Solving -4 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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