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Simplifying (x3 + -3x + 1) + -1(x3 + 7 + -12x) = 0 Reorder the terms: (1 + -3x + x3) + -1(x3 + 7 + -12x) = 0 Remove parenthesis around (1 + -3x + x3) 1 + -3x + x3 + -1(x3 + 7 + -12x) = 0 Reorder the terms: 1 + -3x + x3 + -1(7 + -12x + x3) = 0 1 + -3x + x3 + (7 * -1 + -12x * -1 + x3 * -1) = 0 1 + -3x + x3 + (-7 + 12x + -1x3) = 0 Reorder the terms: 1 + -7 + -3x + 12x + x3 + -1x3 = 0 Combine like terms: 1 + -7 = -6 -6 + -3x + 12x + x3 + -1x3 = 0 Combine like terms: -3x + 12x = 9x -6 + 9x + x3 + -1x3 = 0 Combine like terms: x3 + -1x3 = 0 -6 + 9x + 0 = 0 -6 + 9x = 0 Solving -6 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 9x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 0 + 6 9x = 0 + 6 Combine like terms: 0 + 6 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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