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Simplifying 2[1 + -3(x + 2)] + x = 0 Reorder the terms: 2[1 + -3(2 + x)] + x = 0 2[1 + (2 * -3 + x * -3)] + x = 0 2[1 + (-6 + -3x)] + x = 0 Combine like terms: 1 + -6 = -5 2[-5 + -3x] + x = 0 [-5 * 2 + -3x * 2] + x = 0 [-10 + -6x] + x = 0 Combine like terms: -6x + x = -5x -10 + -5x = 0 Solving -10 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 0 + 10 -5x = 0 + 10 Combine like terms: 0 + 10 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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