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Simplifying -3x2 + -1x + 3atx = 5 Reorder the terms: 3atx + -1x + -3x2 = 5 Solving 3atx + -1x + -3x2 = 5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. 3atx + -1x + x + -3x2 = 5 + x Combine like terms: -1x + x = 0 3atx + 0 + -3x2 = 5 + x 3atx + -3x2 = 5 + x Add '3x2' to each side of the equation. 3atx + -3x2 + 3x2 = 5 + x + 3x2 Combine like terms: -3x2 + 3x2 = 0 3atx + 0 = 5 + x + 3x2 3atx = 5 + x + 3x2 Divide each side by '3tx'. a = 1.666666667t-1x-1 + 0.3333333333t-1 + t-1x Simplifying a = 1.666666667t-1x-1 + 0.3333333333t-1 + t-1x Reorder the terms: a = 0.3333333333t-1 + 1.666666667t-1x-1 + t-1x
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