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Simplifying 12 = 1.5x(45 + -1a) 12 = (45 * 1.5x + -1a * 1.5x) Reorder the terms: 12 = (-1.5ax + 67.5x) 12 = (-1.5ax + 67.5x) Solving 12 = -1.5ax + 67.5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.5ax' to each side of the equation. 12 + 1.5ax = -1.5ax + 1.5ax + 67.5x Combine like terms: -1.5ax + 1.5ax = 0.0 12 + 1.5ax = 0.0 + 67.5x 12 + 1.5ax = 67.5x Add '-12' to each side of the equation. 12 + -12 + 1.5ax = -12 + 67.5x Combine like terms: 12 + -12 = 0 0 + 1.5ax = -12 + 67.5x 1.5ax = -12 + 67.5x Divide each side by '1.5x'. a = -8x-1 + 45 Simplifying a = -8x-1 + 45 Reorder the terms: a = 45 + -8x-1
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