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Simplifying 6(x + -3)(x + -4) + -6x(x + -2) = 4 Reorder the terms: 6(-3 + x)(x + -4) + -6x(x + -2) = 4 Reorder the terms: 6(-3 + x)(-4 + x) + -6x(x + -2) = 4 Multiply (-3 + x) * (-4 + x) 6(-3(-4 + x) + x(-4 + x)) + -6x(x + -2) = 4 6((-4 * -3 + x * -3) + x(-4 + x)) + -6x(x + -2) = 4 6((12 + -3x) + x(-4 + x)) + -6x(x + -2) = 4 6(12 + -3x + (-4 * x + x * x)) + -6x(x + -2) = 4 6(12 + -3x + (-4x + x2)) + -6x(x + -2) = 4 Combine like terms: -3x + -4x = -7x 6(12 + -7x + x2) + -6x(x + -2) = 4 (12 * 6 + -7x * 6 + x2 * 6) + -6x(x + -2) = 4 (72 + -42x + 6x2) + -6x(x + -2) = 4 Reorder the terms: 72 + -42x + 6x2 + -6x(-2 + x) = 4 72 + -42x + 6x2 + (-2 * -6x + x * -6x) = 4 72 + -42x + 6x2 + (12x + -6x2) = 4 Reorder the terms: 72 + -42x + 12x + 6x2 + -6x2 = 4 Combine like terms: -42x + 12x = -30x 72 + -30x + 6x2 + -6x2 = 4 Combine like terms: 6x2 + -6x2 = 0 72 + -30x + 0 = 4 72 + -30x = 4 Solving 72 + -30x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -30x = 4 + -72 Combine like terms: 72 + -72 = 0 0 + -30x = 4 + -72 -30x = 4 + -72 Combine like terms: 4 + -72 = -68 -30x = -68 Divide each side by '-30'. x = 2.266666667 Simplifying x = 2.266666667
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