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Simplifying x(3x + -4) = (3x + 6)(x + -4) Reorder the terms: x(-4 + 3x) = (3x + 6)(x + -4) (-4 * x + 3x * x) = (3x + 6)(x + -4) (-4x + 3x2) = (3x + 6)(x + -4) Reorder the terms: -4x + 3x2 = (6 + 3x)(x + -4) Reorder the terms: -4x + 3x2 = (6 + 3x)(-4 + x) Multiply (6 + 3x) * (-4 + x) -4x + 3x2 = (6(-4 + x) + 3x * (-4 + x)) -4x + 3x2 = ((-4 * 6 + x * 6) + 3x * (-4 + x)) -4x + 3x2 = ((-24 + 6x) + 3x * (-4 + x)) -4x + 3x2 = (-24 + 6x + (-4 * 3x + x * 3x)) -4x + 3x2 = (-24 + 6x + (-12x + 3x2)) Combine like terms: 6x + -12x = -6x -4x + 3x2 = (-24 + -6x + 3x2) Add '-3x2' to each side of the equation. -4x + 3x2 + -3x2 = -24 + -6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4x + 0 = -24 + -6x + 3x2 + -3x2 -4x = -24 + -6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4x = -24 + -6x + 0 -4x = -24 + -6x Solving -4x = -24 + -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 = -24 + -6x + 6x Combine like terms: -4x + 6x = 2x 2x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 2x = -24 + 0 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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