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Simplifying 12x2 + 3 + -1[7(x2 + -5) + 8] = 0 Reorder the terms: 12x2 + 3 + -1[7(-5 + x2) + 8] = 0 12x2 + 3 + -1[(-5 * 7 + x2 * 7) + 8] = 0 12x2 + 3 + -1[(-35 + 7x2) + 8] = 0 Reorder the terms: 12x2 + 3 + -1[-35 + 8 + 7x2] = 0 Combine like terms: -35 + 8 = -27 12x2 + 3 + -1[-27 + 7x2] = 0 12x2 + 3 + [-27 * -1 + 7x2 * -1] = 0 12x2 + 3 + [27 + -7x2] = 0 Reorder the terms: 3 + 27 + 12x2 + -7x2 = 0 Combine like terms: 3 + 27 = 30 30 + 12x2 + -7x2 = 0 Combine like terms: 12x2 + -7x2 = 5x2 30 + 5x2 = 0 Solving 30 + 5x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5x2 = 0 + -30 5x2 = 0 + -30 Combine like terms: 0 + -30 = -30 5x2 = -30 Divide each side by '5'. x2 = -6 Simplifying x2 = -6 Reorder the terms: 6 + x2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + x2 = 0 The solution to this equation could not be determined.
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