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Simplifying x(6x + -4) + x(2x + -2) = (8x + 6)(x + -6) Reorder the terms: x(-4 + 6x) + x(2x + -2) = (8x + 6)(x + -6) (-4 * x + 6x * x) + x(2x + -2) = (8x + 6)(x + -6) (-4x + 6x2) + x(2x + -2) = (8x + 6)(x + -6) Reorder the terms: -4x + 6x2 + x(-2 + 2x) = (8x + 6)(x + -6) -4x + 6x2 + (-2 * x + 2x * x) = (8x + 6)(x + -6) -4x + 6x2 + (-2x + 2x2) = (8x + 6)(x + -6) Reorder the terms: -4x + -2x + 6x2 + 2x2 = (8x + 6)(x + -6) Combine like terms: -4x + -2x = -6x -6x + 6x2 + 2x2 = (8x + 6)(x + -6) Combine like terms: 6x2 + 2x2 = 8x2 -6x + 8x2 = (8x + 6)(x + -6) Reorder the terms: -6x + 8x2 = (6 + 8x)(x + -6) Reorder the terms: -6x + 8x2 = (6 + 8x)(-6 + x) Multiply (6 + 8x) * (-6 + x) -6x + 8x2 = (6(-6 + x) + 8x * (-6 + x)) -6x + 8x2 = ((-6 * 6 + x * 6) + 8x * (-6 + x)) -6x + 8x2 = ((-36 + 6x) + 8x * (-6 + x)) -6x + 8x2 = (-36 + 6x + (-6 * 8x + x * 8x)) -6x + 8x2 = (-36 + 6x + (-48x + 8x2)) Combine like terms: 6x + -48x = -42x -6x + 8x2 = (-36 + -42x + 8x2) Add '-8x2' to each side of the equation. -6x + 8x2 + -8x2 = -36 + -42x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -6x + 0 = -36 + -42x + 8x2 + -8x2 -6x = -36 + -42x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -6x = -36 + -42x + 0 -6x = -36 + -42x Solving -6x = -36 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -6x + 42x = -36 + -42x + 42x Combine like terms: -6x + 42x = 36x 36x = -36 + -42x + 42x Combine like terms: -42x + 42x = 0 36x = -36 + 0 36x = -36 Divide each side by '36'. x = -1 Simplifying x = -1
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