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Simplifying 12(3x + -2) = 5 + -6x Reorder the terms: 12(-2 + 3x) = 5 + -6x (-2 * 12 + 3x * 12) = 5 + -6x (-24 + 36x) = 5 + -6x Solving -24 + 36x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + 36x + 6x = 5 + -6x + 6x Combine like terms: 36x + 6x = 42x -24 + 42x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 42x = 5 + 0 -24 + 42x = 5 Add '24' to each side of the equation. -24 + 24 + 42x = 5 + 24 Combine like terms: -24 + 24 = 0 0 + 42x = 5 + 24 42x = 5 + 24 Combine like terms: 5 + 24 = 29 42x = 29 Divide each side by '42'. x = 0.6904761905 Simplifying x = 0.6904761905
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