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Simplifying X + (3x + 12)(4x + -8) = 180 Reorder the terms: X + (12 + 3x)(4x + -8) = 180 Reorder the terms: X + (12 + 3x)(-8 + 4x) = 180 Multiply (12 + 3x) * (-8 + 4x) X + (12(-8 + 4x) + 3x * (-8 + 4x)) = 180 X + ((-8 * 12 + 4x * 12) + 3x * (-8 + 4x)) = 180 X + ((-96 + 48x) + 3x * (-8 + 4x)) = 180 X + (-96 + 48x + (-8 * 3x + 4x * 3x)) = 180 X + (-96 + 48x + (-24x + 12x2)) = 180 Combine like terms: 48x + -24x = 24x X + (-96 + 24x + 12x2) = 180 Reorder the terms: -96 + X + 24x + 12x2 = 180 Solving -96 + X + 24x + 12x2 = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '96' to each side of the equation. -96 + X + 24x + 96 + 12x2 = 180 + 96 Reorder the terms: -96 + 96 + X + 24x + 12x2 = 180 + 96 Combine like terms: -96 + 96 = 0 0 + X + 24x + 12x2 = 180 + 96 X + 24x + 12x2 = 180 + 96 Combine like terms: 180 + 96 = 276 X + 24x + 12x2 = 276 Add '-24x' to each side of the equation. X + 24x + -24x + 12x2 = 276 + -24x Combine like terms: 24x + -24x = 0 X + 0 + 12x2 = 276 + -24x X + 12x2 = 276 + -24x Add '-12x2' to each side of the equation. X + 12x2 + -12x2 = 276 + -24x + -12x2 Combine like terms: 12x2 + -12x2 = 0 X + 0 = 276 + -24x + -12x2 X = 276 + -24x + -12x2 Simplifying X = 276 + -24x + -12x2
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