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Simplifying 3(2x + -4) + -2(2x + 3) = 0 Reorder the terms: 3(-4 + 2x) + -2(2x + 3) = 0 (-4 * 3 + 2x * 3) + -2(2x + 3) = 0 (-12 + 6x) + -2(2x + 3) = 0 Reorder the terms: -12 + 6x + -2(3 + 2x) = 0 -12 + 6x + (3 * -2 + 2x * -2) = 0 -12 + 6x + (-6 + -4x) = 0 Reorder the terms: -12 + -6 + 6x + -4x = 0 Combine like terms: -12 + -6 = -18 -18 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -18 + 2x = 0 Solving -18 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 2x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 0 + 18 2x = 0 + 18 Combine like terms: 0 + 18 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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