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Simplifying 12(3x + -8) = 3(-14x + 9) Reorder the terms: 12(-8 + 3x) = 3(-14x + 9) (-8 * 12 + 3x * 12) = 3(-14x + 9) (-96 + 36x) = 3(-14x + 9) Reorder the terms: -96 + 36x = 3(9 + -14x) -96 + 36x = (9 * 3 + -14x * 3) -96 + 36x = (27 + -42x) Solving -96 + 36x = 27 + -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. -96 + 36x + 42x = 27 + -42x + 42x Combine like terms: 36x + 42x = 78x -96 + 78x = 27 + -42x + 42x Combine like terms: -42x + 42x = 0 -96 + 78x = 27 + 0 -96 + 78x = 27 Add '96' to each side of the equation. -96 + 96 + 78x = 27 + 96 Combine like terms: -96 + 96 = 0 0 + 78x = 27 + 96 78x = 27 + 96 Combine like terms: 27 + 96 = 123 78x = 123 Divide each side by '78'. x = 1.576923077 Simplifying x = 1.576923077
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