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Simplifying x3 + x2 + -5x + -6atx = 2 Reorder the terms: -6atx + -5x + x2 + x3 = 2 Solving -6atx + -5x + x2 + x3 = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5x' to each side of the equation. -6atx + -5x + x2 + 5x + x3 = 2 + 5x Reorder the terms: -6atx + -5x + 5x + x2 + x3 = 2 + 5x Combine like terms: -5x + 5x = 0 -6atx + 0 + x2 + x3 = 2 + 5x -6atx + x2 + x3 = 2 + 5x Add '-1x2' to each side of the equation. -6atx + x2 + -1x2 + x3 = 2 + 5x + -1x2 Combine like terms: x2 + -1x2 = 0 -6atx + 0 + x3 = 2 + 5x + -1x2 -6atx + x3 = 2 + 5x + -1x2 Add '-1x3' to each side of the equation. -6atx + x3 + -1x3 = 2 + 5x + -1x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -6atx + 0 = 2 + 5x + -1x2 + -1x3 -6atx = 2 + 5x + -1x2 + -1x3 Divide each side by '-6tx'. a = -0.3333333333t-1x-1 + -0.8333333333t-1 + 0.1666666667t-1x + 0.1666666667t-1x2 Simplifying a = -0.3333333333t-1x-1 + -0.8333333333t-1 + 0.1666666667t-1x + 0.1666666667t-1x2 Reorder the terms: a = -0.8333333333t-1 + -0.3333333333t-1x-1 + 0.1666666667t-1x + 0.1666666667t-1x2
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