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Simplifying x(4x + -4) = (4x + 6)(x + -2) Reorder the terms: x(-4 + 4x) = (4x + 6)(x + -2) (-4 * x + 4x * x) = (4x + 6)(x + -2) (-4x + 4x2) = (4x + 6)(x + -2) Reorder the terms: -4x + 4x2 = (6 + 4x)(x + -2) Reorder the terms: -4x + 4x2 = (6 + 4x)(-2 + x) Multiply (6 + 4x) * (-2 + x) -4x + 4x2 = (6(-2 + x) + 4x * (-2 + x)) -4x + 4x2 = ((-2 * 6 + x * 6) + 4x * (-2 + x)) -4x + 4x2 = ((-12 + 6x) + 4x * (-2 + x)) -4x + 4x2 = (-12 + 6x + (-2 * 4x + x * 4x)) -4x + 4x2 = (-12 + 6x + (-8x + 4x2)) Combine like terms: 6x + -8x = -2x -4x + 4x2 = (-12 + -2x + 4x2) Add '-4x2' to each side of the equation. -4x + 4x2 + -4x2 = -12 + -2x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x + 0 = -12 + -2x + 4x2 + -4x2 -4x = -12 + -2x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x = -12 + -2x + 0 -4x = -12 + -2x Solving -4x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4x + 2x = -12 + -2x + 2x Combine like terms: -4x + 2x = -2x -2x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 -2x = -12 + 0 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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