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Simplifying x(2x + -6) + x(2x + -2) = (4x + -8)(x + -8) Reorder the terms: x(-6 + 2x) + x(2x + -2) = (4x + -8)(x + -8) (-6 * x + 2x * x) + x(2x + -2) = (4x + -8)(x + -8) (-6x + 2x2) + x(2x + -2) = (4x + -8)(x + -8) Reorder the terms: -6x + 2x2 + x(-2 + 2x) = (4x + -8)(x + -8) -6x + 2x2 + (-2 * x + 2x * x) = (4x + -8)(x + -8) -6x + 2x2 + (-2x + 2x2) = (4x + -8)(x + -8) Reorder the terms: -6x + -2x + 2x2 + 2x2 = (4x + -8)(x + -8) Combine like terms: -6x + -2x = -8x -8x + 2x2 + 2x2 = (4x + -8)(x + -8) Combine like terms: 2x2 + 2x2 = 4x2 -8x + 4x2 = (4x + -8)(x + -8) Reorder the terms: -8x + 4x2 = (-8 + 4x)(x + -8) Reorder the terms: -8x + 4x2 = (-8 + 4x)(-8 + x) Multiply (-8 + 4x) * (-8 + x) -8x + 4x2 = (-8(-8 + x) + 4x * (-8 + x)) -8x + 4x2 = ((-8 * -8 + x * -8) + 4x * (-8 + x)) -8x + 4x2 = ((64 + -8x) + 4x * (-8 + x)) -8x + 4x2 = (64 + -8x + (-8 * 4x + x * 4x)) -8x + 4x2 = (64 + -8x + (-32x + 4x2)) Combine like terms: -8x + -32x = -40x -8x + 4x2 = (64 + -40x + 4x2) Add '-4x2' to each side of the equation. -8x + 4x2 + -4x2 = 64 + -40x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8x + 0 = 64 + -40x + 4x2 + -4x2 -8x = 64 + -40x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8x = 64 + -40x + 0 -8x = 64 + -40x Solving -8x = 64 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -8x + 40x = 64 + -40x + 40x Combine like terms: -8x + 40x = 32x 32x = 64 + -40x + 40x Combine like terms: -40x + 40x = 0 32x = 64 + 0 32x = 64 Divide each side by '32'. x = 2 Simplifying x = 2
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