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Simplifying -3(x + -4) = 12(1 + 7x) Reorder the terms: -3(-4 + x) = 12(1 + 7x) (-4 * -3 + x * -3) = 12(1 + 7x) (12 + -3x) = 12(1 + 7x) 12 + -3x = (1 * 12 + 7x * 12) 12 + -3x = (12 + 84x) Add '-12' to each side of the equation. 12 + -12 + -3x = 12 + -12 + 84x Combine like terms: 12 + -12 = 0 0 + -3x = 12 + -12 + 84x -3x = 12 + -12 + 84x Combine like terms: 12 + -12 = 0 -3x = 0 + 84x -3x = 84x Solving -3x = 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. -3x + -84x = 84x + -84x Combine like terms: -3x + -84x = -87x -87x = 84x + -84x Combine like terms: 84x + -84x = 0 -87x = 0 Divide each side by '-87'. x = 0 Simplifying x = 0
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