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Simplifying 2x + 3(4 + -2x) + -2(x + 3) = 0 2x + (4 * 3 + -2x * 3) + -2(x + 3) = 0 2x + (12 + -6x) + -2(x + 3) = 0 Reorder the terms: 2x + 12 + -6x + -2(3 + x) = 0 2x + 12 + -6x + (3 * -2 + x * -2) = 0 2x + 12 + -6x + (-6 + -2x) = 0 Reorder the terms: 12 + -6 + 2x + -6x + -2x = 0 Combine like terms: 12 + -6 = 6 6 + 2x + -6x + -2x = 0 Combine like terms: 2x + -6x = -4x 6 + -4x + -2x = 0 Combine like terms: -4x + -2x = -6x 6 + -6x = 0 Solving 6 + -6x = 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 + -6x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 0 + -6 -6x = 0 + -6 Combine like terms: 0 + -6 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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