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Simplifying (4x + -5) * x + -14atx = 3 Reorder the terms: (-5 + 4x) * x + -14atx = 3 Reorder the terms for easier multiplication: x(-5 + 4x) + -14atx = 3 (-5 * x + 4x * x) + -14atx = 3 (-5x + 4x2) + -14atx = 3 Reorder the terms: -14atx + -5x + 4x2 = 3 Solving -14atx + -5x + 4x2 = 3 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. -14atx + -5x + 5x + 4x2 = 3 + 5x Combine like terms: -5x + 5x = 0 -14atx + 0 + 4x2 = 3 + 5x -14atx + 4x2 = 3 + 5x Add '-4x2' to each side of the equation. -14atx + 4x2 + -4x2 = 3 + 5x + -4x2 Combine like terms: 4x2 + -4x2 = 0 -14atx + 0 = 3 + 5x + -4x2 -14atx = 3 + 5x + -4x2 Divide each side by '-14tx'. a = -0.2142857143t-1x-1 + -0.3571428571t-1 + 0.2857142857t-1x Simplifying a = -0.2142857143t-1x-1 + -0.3571428571t-1 + 0.2857142857t-1x Reorder the terms: a = -0.3571428571t-1 + -0.2142857143t-1x-1 + 0.2857142857t-1x
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