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Simplifying 2(3x + 6) + 2(2x + -4) = 0 Reorder the terms: 2(6 + 3x) + 2(2x + -4) = 0 (6 * 2 + 3x * 2) + 2(2x + -4) = 0 (12 + 6x) + 2(2x + -4) = 0 Reorder the terms: 12 + 6x + 2(-4 + 2x) = 0 12 + 6x + (-4 * 2 + 2x * 2) = 0 12 + 6x + (-8 + 4x) = 0 Reorder the terms: 12 + -8 + 6x + 4x = 0 Combine like terms: 12 + -8 = 4 4 + 6x + 4x = 0 Combine like terms: 6x + 4x = 10x 4 + 10x = 0 Solving 4 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 0 + -4 10x = 0 + -4 Combine like terms: 0 + -4 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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