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Simplifying 3(4x + -2) + -2(2x + 4) = 12 Reorder the terms: 3(-2 + 4x) + -2(2x + 4) = 12 (-2 * 3 + 4x * 3) + -2(2x + 4) = 12 (-6 + 12x) + -2(2x + 4) = 12 Reorder the terms: -6 + 12x + -2(4 + 2x) = 12 -6 + 12x + (4 * -2 + 2x * -2) = 12 -6 + 12x + (-8 + -4x) = 12 Reorder the terms: -6 + -8 + 12x + -4x = 12 Combine like terms: -6 + -8 = -14 -14 + 12x + -4x = 12 Combine like terms: 12x + -4x = 8x -14 + 8x = 12 Solving -14 + 8x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 12 + 14 8x = 12 + 14 Combine like terms: 12 + 14 = 26 8x = 26 Divide each side by '8'. x = 3.25 Simplifying x = 3.25
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