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Simplifying 2(6x + 3) + -3(2x + -4) = 0 Reorder the terms: 2(3 + 6x) + -3(2x + -4) = 0 (3 * 2 + 6x * 2) + -3(2x + -4) = 0 (6 + 12x) + -3(2x + -4) = 0 Reorder the terms: 6 + 12x + -3(-4 + 2x) = 0 6 + 12x + (-4 * -3 + 2x * -3) = 0 6 + 12x + (12 + -6x) = 0 Reorder the terms: 6 + 12 + 12x + -6x = 0 Combine like terms: 6 + 12 = 18 18 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x 18 + 6x = 0 Solving 18 + 6x = 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 + 6x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 0 + -18 6x = 0 + -18 Combine like terms: 0 + -18 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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