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Simplifying 3(2x + 4) + 2(x + -2) = 0 Reorder the terms: 3(4 + 2x) + 2(x + -2) = 0 (4 * 3 + 2x * 3) + 2(x + -2) = 0 (12 + 6x) + 2(x + -2) = 0 Reorder the terms: 12 + 6x + 2(-2 + x) = 0 12 + 6x + (-2 * 2 + x * 2) = 0 12 + 6x + (-4 + 2x) = 0 Reorder the terms: 12 + -4 + 6x + 2x = 0 Combine like terms: 12 + -4 = 8 8 + 6x + 2x = 0 Combine like terms: 6x + 2x = 8x 8 + 8x = 0 Solving 8 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 0 + -8 8x = 0 + -8 Combine like terms: 0 + -8 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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