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Simplifying (3x + 9)(4x + -8) = (x + -1)(12x + 60) + 132 Reorder the terms: (9 + 3x)(4x + -8) = (x + -1)(12x + 60) + 132 Reorder the terms: (9 + 3x)(-8 + 4x) = (x + -1)(12x + 60) + 132 Multiply (9 + 3x) * (-8 + 4x) (9(-8 + 4x) + 3x * (-8 + 4x)) = (x + -1)(12x + 60) + 132 ((-8 * 9 + 4x * 9) + 3x * (-8 + 4x)) = (x + -1)(12x + 60) + 132 ((-72 + 36x) + 3x * (-8 + 4x)) = (x + -1)(12x + 60) + 132 (-72 + 36x + (-8 * 3x + 4x * 3x)) = (x + -1)(12x + 60) + 132 (-72 + 36x + (-24x + 12x2)) = (x + -1)(12x + 60) + 132 Combine like terms: 36x + -24x = 12x (-72 + 12x + 12x2) = (x + -1)(12x + 60) + 132 Reorder the terms: -72 + 12x + 12x2 = (-1 + x)(12x + 60) + 132 Reorder the terms: -72 + 12x + 12x2 = (-1 + x)(60 + 12x) + 132 Multiply (-1 + x) * (60 + 12x) -72 + 12x + 12x2 = (-1(60 + 12x) + x(60 + 12x)) + 132 -72 + 12x + 12x2 = ((60 * -1 + 12x * -1) + x(60 + 12x)) + 132 -72 + 12x + 12x2 = ((-60 + -12x) + x(60 + 12x)) + 132 -72 + 12x + 12x2 = (-60 + -12x + (60 * x + 12x * x)) + 132 -72 + 12x + 12x2 = (-60 + -12x + (60x + 12x2)) + 132 Combine like terms: -12x + 60x = 48x -72 + 12x + 12x2 = (-60 + 48x + 12x2) + 132 Reorder the terms: -72 + 12x + 12x2 = -60 + 132 + 48x + 12x2 Combine like terms: -60 + 132 = 72 -72 + 12x + 12x2 = 72 + 48x + 12x2 Add '-12x2' to each side of the equation. -72 + 12x + 12x2 + -12x2 = 72 + 48x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -72 + 12x + 0 = 72 + 48x + 12x2 + -12x2 -72 + 12x = 72 + 48x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -72 + 12x = 72 + 48x + 0 -72 + 12x = 72 + 48x Solving -72 + 12x = 72 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -72 + 12x + -48x = 72 + 48x + -48x Combine like terms: 12x + -48x = -36x -72 + -36x = 72 + 48x + -48x Combine like terms: 48x + -48x = 0 -72 + -36x = 72 + 0 -72 + -36x = 72 Add '72' to each side of the equation. -72 + 72 + -36x = 72 + 72 Combine like terms: -72 + 72 = 0 0 + -36x = 72 + 72 -36x = 72 + 72 Combine like terms: 72 + 72 = 144 -36x = 144 Divide each side by '-36'. x = -4 Simplifying x = -4
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