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Simplifying x(3x + -4) = (3x + 2)(x + -3) Reorder the terms: x(-4 + 3x) = (3x + 2)(x + -3) (-4 * x + 3x * x) = (3x + 2)(x + -3) (-4x + 3x2) = (3x + 2)(x + -3) Reorder the terms: -4x + 3x2 = (2 + 3x)(x + -3) Reorder the terms: -4x + 3x2 = (2 + 3x)(-3 + x) Multiply (2 + 3x) * (-3 + x) -4x + 3x2 = (2(-3 + x) + 3x * (-3 + x)) -4x + 3x2 = ((-3 * 2 + x * 2) + 3x * (-3 + x)) -4x + 3x2 = ((-6 + 2x) + 3x * (-3 + x)) -4x + 3x2 = (-6 + 2x + (-3 * 3x + x * 3x)) -4x + 3x2 = (-6 + 2x + (-9x + 3x2)) Combine like terms: 2x + -9x = -7x -4x + 3x2 = (-6 + -7x + 3x2) Add '-3x2' to each side of the equation. -4x + 3x2 + -3x2 = -6 + -7x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4x + 0 = -6 + -7x + 3x2 + -3x2 -4x = -6 + -7x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4x = -6 + -7x + 0 -4x = -6 + -7x Solving -4x = -6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -4x + 7x = -6 + -7x + 7x Combine like terms: -4x + 7x = 3x 3x = -6 + -7x + 7x Combine like terms: -7x + 7x = 0 3x = -6 + 0 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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