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Simplifying x(6x + -6) = (6x + 4)(x + -5) Reorder the terms: x(-6 + 6x) = (6x + 4)(x + -5) (-6 * x + 6x * x) = (6x + 4)(x + -5) (-6x + 6x2) = (6x + 4)(x + -5) Reorder the terms: -6x + 6x2 = (4 + 6x)(x + -5) Reorder the terms: -6x + 6x2 = (4 + 6x)(-5 + x) Multiply (4 + 6x) * (-5 + x) -6x + 6x2 = (4(-5 + x) + 6x * (-5 + x)) -6x + 6x2 = ((-5 * 4 + x * 4) + 6x * (-5 + x)) -6x + 6x2 = ((-20 + 4x) + 6x * (-5 + x)) -6x + 6x2 = (-20 + 4x + (-5 * 6x + x * 6x)) -6x + 6x2 = (-20 + 4x + (-30x + 6x2)) Combine like terms: 4x + -30x = -26x -6x + 6x2 = (-20 + -26x + 6x2) Add '-6x2' to each side of the equation. -6x + 6x2 + -6x2 = -20 + -26x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x + 0 = -20 + -26x + 6x2 + -6x2 -6x = -20 + -26x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x = -20 + -26x + 0 -6x = -20 + -26x Solving -6x = -20 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -6x + 26x = -20 + -26x + 26x Combine like terms: -6x + 26x = 20x 20x = -20 + -26x + 26x Combine like terms: -26x + 26x = 0 20x = -20 + 0 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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