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Simplifying 5x + 2(x + -3(x + -2)) = 0 Reorder the terms: 5x + 2(x + -3(-2 + x)) = 0 5x + 2(x + (-2 * -3 + x * -3)) = 0 5x + 2(x + (6 + -3x)) = 0 Reorder the terms: 5x + 2(6 + x + -3x) = 0 Combine like terms: x + -3x = -2x 5x + 2(6 + -2x) = 0 5x + (6 * 2 + -2x * 2) = 0 5x + (12 + -4x) = 0 Reorder the terms: 12 + 5x + -4x = 0 Combine like terms: 5x + -4x = 1x 12 + 1x = 0 Solving 12 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 0 + -12 1x = 0 + -12 Combine like terms: 0 + -12 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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