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Simplifying (4x + -6)(3x + -1) = (12x + 4)(x + -1) Reorder the terms: (-6 + 4x)(3x + -1) = (12x + 4)(x + -1) Reorder the terms: (-6 + 4x)(-1 + 3x) = (12x + 4)(x + -1) Multiply (-6 + 4x) * (-1 + 3x) (-6(-1 + 3x) + 4x * (-1 + 3x)) = (12x + 4)(x + -1) ((-1 * -6 + 3x * -6) + 4x * (-1 + 3x)) = (12x + 4)(x + -1) ((6 + -18x) + 4x * (-1 + 3x)) = (12x + 4)(x + -1) (6 + -18x + (-1 * 4x + 3x * 4x)) = (12x + 4)(x + -1) (6 + -18x + (-4x + 12x2)) = (12x + 4)(x + -1) Combine like terms: -18x + -4x = -22x (6 + -22x + 12x2) = (12x + 4)(x + -1) Reorder the terms: 6 + -22x + 12x2 = (4 + 12x)(x + -1) Reorder the terms: 6 + -22x + 12x2 = (4 + 12x)(-1 + x) Multiply (4 + 12x) * (-1 + x) 6 + -22x + 12x2 = (4(-1 + x) + 12x * (-1 + x)) 6 + -22x + 12x2 = ((-1 * 4 + x * 4) + 12x * (-1 + x)) 6 + -22x + 12x2 = ((-4 + 4x) + 12x * (-1 + x)) 6 + -22x + 12x2 = (-4 + 4x + (-1 * 12x + x * 12x)) 6 + -22x + 12x2 = (-4 + 4x + (-12x + 12x2)) Combine like terms: 4x + -12x = -8x 6 + -22x + 12x2 = (-4 + -8x + 12x2) Add '-12x2' to each side of the equation. 6 + -22x + 12x2 + -12x2 = -4 + -8x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 6 + -22x + 0 = -4 + -8x + 12x2 + -12x2 6 + -22x = -4 + -8x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 6 + -22x = -4 + -8x + 0 6 + -22x = -4 + -8x Solving 6 + -22x = -4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + -22x + 8x = -4 + -8x + 8x Combine like terms: -22x + 8x = -14x 6 + -14x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + -14x = -4 + 0 6 + -14x = -4 Add '-6' to each side of the equation. 6 + -6 + -14x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -14x = -4 + -6 -14x = -4 + -6 Combine like terms: -4 + -6 = -10 -14x = -10 Divide each side by '-14'. x = 0.7142857143 Simplifying x = 0.7142857143
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