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Simplifying -9(12 + -12x) = -9(12 + 5x) + 3x (12 * -9 + -12x * -9) = -9(12 + 5x) + 3x (-108 + 108x) = -9(12 + 5x) + 3x -108 + 108x = (12 * -9 + 5x * -9) + 3x -108 + 108x = (-108 + -45x) + 3x Combine like terms: -45x + 3x = -42x -108 + 108x = -108 + -42x Add '108' to each side of the equation. -108 + 108 + 108x = -108 + 108 + -42x Combine like terms: -108 + 108 = 0 0 + 108x = -108 + 108 + -42x 108x = -108 + 108 + -42x Combine like terms: -108 + 108 = 0 108x = 0 + -42x 108x = -42x Solving 108x = -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 108x + 42x = -42x + 42x Combine like terms: 108x + 42x = 150x 150x = -42x + 42x Combine like terms: -42x + 42x = 0 150x = 0 Divide each side by '150'. x = 0.0 Simplifying x = 0.0
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