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Simplifying 3(4x + 2) + -4(2x + 3) = 0 Reorder the terms: 3(2 + 4x) + -4(2x + 3) = 0 (2 * 3 + 4x * 3) + -4(2x + 3) = 0 (6 + 12x) + -4(2x + 3) = 0 Reorder the terms: 6 + 12x + -4(3 + 2x) = 0 6 + 12x + (3 * -4 + 2x * -4) = 0 6 + 12x + (-12 + -8x) = 0 Reorder the terms: 6 + -12 + 12x + -8x = 0 Combine like terms: 6 + -12 = -6 -6 + 12x + -8x = 0 Combine like terms: 12x + -8x = 4x -6 + 4x = 0 Solving -6 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 0 + 6 4x = 0 + 6 Combine like terms: 0 + 6 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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