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