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Simplifying x(6x + -6) = (6x + 2)(x + -2) Reorder the terms: x(-6 + 6x) = (6x + 2)(x + -2) (-6 * x + 6x * x) = (6x + 2)(x + -2) (-6x + 6x2) = (6x + 2)(x + -2) Reorder the terms: -6x + 6x2 = (2 + 6x)(x + -2) Reorder the terms: -6x + 6x2 = (2 + 6x)(-2 + x) Multiply (2 + 6x) * (-2 + x) -6x + 6x2 = (2(-2 + x) + 6x * (-2 + x)) -6x + 6x2 = ((-2 * 2 + x * 2) + 6x * (-2 + x)) -6x + 6x2 = ((-4 + 2x) + 6x * (-2 + x)) -6x + 6x2 = (-4 + 2x + (-2 * 6x + x * 6x)) -6x + 6x2 = (-4 + 2x + (-12x + 6x2)) Combine like terms: 2x + -12x = -10x -6x + 6x2 = (-4 + -10x + 6x2) Add '-6x2' to each side of the equation. -6x + 6x2 + -6x2 = -4 + -10x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x + 0 = -4 + -10x + 6x2 + -6x2 -6x = -4 + -10x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x = -4 + -10x + 0 -6x = -4 + -10x Solving -6x = -4 + -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. -6x + 10x = -4 + -10x + 10x Combine like terms: -6x + 10x = 4x 4x = -4 + -10x + 10x Combine like terms: -10x + 10x = 0 4x = -4 + 0 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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