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Simplifying (x(4x + -4)) = (4x + 6)(x + -3) Reorder the terms: (x(-4 + 4x)) = (4x + 6)(x + -3) ((-4 * x + 4x * x)) = (4x + 6)(x + -3) ((-4x + 4x2)) = (4x + 6)(x + -3) (-4x + 4x2) = (4x + 6)(x + -3) Remove parenthesis around (-4x + 4x2) -4x + 4x2 = (4x + 6)(x + -3) Reorder the terms: -4x + 4x2 = (6 + 4x)(x + -3) Reorder the terms: -4x + 4x2 = (6 + 4x)(-3 + x) Multiply (6 + 4x) * (-3 + x) -4x + 4x2 = (6(-3 + x) + 4x * (-3 + x)) -4x + 4x2 = ((-3 * 6 + x * 6) + 4x * (-3 + x)) -4x + 4x2 = ((-18 + 6x) + 4x * (-3 + x)) -4x + 4x2 = (-18 + 6x + (-3 * 4x + x * 4x)) -4x + 4x2 = (-18 + 6x + (-12x + 4x2)) Combine like terms: 6x + -12x = -6x -4x + 4x2 = (-18 + -6x + 4x2) Add '-4x2' to each side of the equation. -4x + 4x2 + -4x2 = -18 + -6x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x + 0 = -18 + -6x + 4x2 + -4x2 -4x = -18 + -6x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x = -18 + -6x + 0 -4x = -18 + -6x Solving -4x = -18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4x + 6x = -18 + -6x + 6x Combine like terms: -4x + 6x = 2x 2x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 2x = -18 + 0 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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