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Simplifying (2 + 5x + 6x2 + 2x3) + -1(-7 + 5x + -6x2 + 2x3) = 0 Remove parenthesis around (2 + 5x + 6x2 + 2x3) 2 + 5x + 6x2 + 2x3 + -1(-7 + 5x + -6x2 + 2x3) = 0 2 + 5x + 6x2 + 2x3 + (-7 * -1 + 5x * -1 + -6x2 * -1 + 2x3 * -1) = 0 2 + 5x + 6x2 + 2x3 + (7 + -5x + 6x2 + -2x3) = 0 Reorder the terms: 2 + 7 + 5x + -5x + 6x2 + 6x2 + 2x3 + -2x3 = 0 Combine like terms: 2 + 7 = 9 9 + 5x + -5x + 6x2 + 6x2 + 2x3 + -2x3 = 0 Combine like terms: 5x + -5x = 0 9 + 0 + 6x2 + 6x2 + 2x3 + -2x3 = 0 9 + 6x2 + 6x2 + 2x3 + -2x3 = 0 Combine like terms: 6x2 + 6x2 = 12x2 9 + 12x2 + 2x3 + -2x3 = 0 Combine like terms: 2x3 + -2x3 = 0 9 + 12x2 + 0 = 0 9 + 12x2 = 0 Solving 9 + 12x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 12x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 12x2 = 0 + -9 12x2 = 0 + -9 Combine like terms: 0 + -9 = -9 12x2 = -9 Divide each side by '12'. x2 = -0.75 Simplifying x2 = -0.75 Reorder the terms: 0.75 + x2 = -0.75 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.75 + x2 = 0.00 The solution to this equation could not be determined.
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