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Simplifying 2x3 + 5x2 + 1x + -5atx = -4 Reorder the terms: -5atx + 1x + 5x2 + 2x3 = -4 Solving -5atx + 1x + 5x2 + 2x3 = -4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. -5atx + 1x + 5x2 + -1x + 2x3 = -4 + -1x Reorder the terms: -5atx + 1x + -1x + 5x2 + 2x3 = -4 + -1x Combine like terms: 1x + -1x = 0 -5atx + 0 + 5x2 + 2x3 = -4 + -1x -5atx + 5x2 + 2x3 = -4 + -1x Add '-5x2' to each side of the equation. -5atx + 5x2 + -5x2 + 2x3 = -4 + -1x + -5x2 Combine like terms: 5x2 + -5x2 = 0 -5atx + 0 + 2x3 = -4 + -1x + -5x2 -5atx + 2x3 = -4 + -1x + -5x2 Add '-2x3' to each side of the equation. -5atx + 2x3 + -2x3 = -4 + -1x + -5x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -5atx + 0 = -4 + -1x + -5x2 + -2x3 -5atx = -4 + -1x + -5x2 + -2x3 Divide each side by '-5tx'. a = 0.8t-1x-1 + 0.2t-1 + t-1x + 0.4t-1x2 Simplifying a = 0.8t-1x-1 + 0.2t-1 + t-1x + 0.4t-1x2 Reorder the terms: a = 0.2t-1 + 0.8t-1x-1 + t-1x + 0.4t-1x2
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