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Simplifying 12x(x + -6) = 2(6x + -1)(x + -7) Reorder the terms: 12x(-6 + x) = 2(6x + -1)(x + -7) (-6 * 12x + x * 12x) = 2(6x + -1)(x + -7) (-72x + 12x2) = 2(6x + -1)(x + -7) Reorder the terms: -72x + 12x2 = 2(-1 + 6x)(x + -7) Reorder the terms: -72x + 12x2 = 2(-1 + 6x)(-7 + x) Multiply (-1 + 6x) * (-7 + x) -72x + 12x2 = 2(-1(-7 + x) + 6x * (-7 + x)) -72x + 12x2 = 2((-7 * -1 + x * -1) + 6x * (-7 + x)) -72x + 12x2 = 2((7 + -1x) + 6x * (-7 + x)) -72x + 12x2 = 2(7 + -1x + (-7 * 6x + x * 6x)) -72x + 12x2 = 2(7 + -1x + (-42x + 6x2)) Combine like terms: -1x + -42x = -43x -72x + 12x2 = 2(7 + -43x + 6x2) -72x + 12x2 = (7 * 2 + -43x * 2 + 6x2 * 2) -72x + 12x2 = (14 + -86x + 12x2) Add '-12x2' to each side of the equation. -72x + 12x2 + -12x2 = 14 + -86x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -72x + 0 = 14 + -86x + 12x2 + -12x2 -72x = 14 + -86x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -72x = 14 + -86x + 0 -72x = 14 + -86x Solving -72x = 14 + -86x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '86x' to each side of the equation. -72x + 86x = 14 + -86x + 86x Combine like terms: -72x + 86x = 14x 14x = 14 + -86x + 86x Combine like terms: -86x + 86x = 0 14x = 14 + 0 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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