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Simplifying 2x(1 + -3x) + 6(x2 + -2) = 0 (1 * 2x + -3x * 2x) + 6(x2 + -2) = 0 (2x + -6x2) + 6(x2 + -2) = 0 Reorder the terms: 2x + -6x2 + 6(-2 + x2) = 0 2x + -6x2 + (-2 * 6 + x2 * 6) = 0 2x + -6x2 + (-12 + 6x2) = 0 Reorder the terms: -12 + 2x + -6x2 + 6x2 = 0 Combine like terms: -6x2 + 6x2 = 0 -12 + 2x + 0 = 0 -12 + 2x = 0 Solving -12 + 2x = 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 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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