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Simplifying 3(12x + -4) = -6 + 5x + 2 Reorder the terms: 3(-4 + 12x) = -6 + 5x + 2 (-4 * 3 + 12x * 3) = -6 + 5x + 2 (-12 + 36x) = -6 + 5x + 2 Reorder the terms: -12 + 36x = -6 + 2 + 5x Combine like terms: -6 + 2 = -4 -12 + 36x = -4 + 5x Solving -12 + 36x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 36x + -5x = -4 + 5x + -5x Combine like terms: 36x + -5x = 31x -12 + 31x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 31x = -4 + 0 -12 + 31x = -4 Add '12' to each side of the equation. -12 + 12 + 31x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 31x = -4 + 12 31x = -4 + 12 Combine like terms: -4 + 12 = 8 31x = 8 Divide each side by '31'. x = 0.2580645161 Simplifying x = 0.2580645161
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