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Simplifying x(8x + -4) = (8x + 6)(x + -2) Reorder the terms: x(-4 + 8x) = (8x + 6)(x + -2) (-4 * x + 8x * x) = (8x + 6)(x + -2) (-4x + 8x2) = (8x + 6)(x + -2) Reorder the terms: -4x + 8x2 = (6 + 8x)(x + -2) Reorder the terms: -4x + 8x2 = (6 + 8x)(-2 + x) Multiply (6 + 8x) * (-2 + x) -4x + 8x2 = (6(-2 + x) + 8x * (-2 + x)) -4x + 8x2 = ((-2 * 6 + x * 6) + 8x * (-2 + x)) -4x + 8x2 = ((-12 + 6x) + 8x * (-2 + x)) -4x + 8x2 = (-12 + 6x + (-2 * 8x + x * 8x)) -4x + 8x2 = (-12 + 6x + (-16x + 8x2)) Combine like terms: 6x + -16x = -10x -4x + 8x2 = (-12 + -10x + 8x2) Add '-8x2' to each side of the equation. -4x + 8x2 + -8x2 = -12 + -10x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -4x + 0 = -12 + -10x + 8x2 + -8x2 -4x = -12 + -10x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -4x = -12 + -10x + 0 -4x = -12 + -10x Solving -4x = -12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -4x + 10x = -12 + -10x + 10x Combine like terms: -4x + 10x = 6x 6x = -12 + -10x + 10x Combine like terms: -10x + 10x = 0 6x = -12 + 0 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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