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Simplifying ax + -6 = (1 + -1b) * x + 3b Reorder the terms: -6 + ax = (1 + -1b) * x + 3b Reorder the terms for easier multiplication: -6 + ax = x(1 + -1b) + 3b -6 + ax = (1 * x + -1b * x) + 3b Reorder the terms: -6 + ax = (-1bx + 1x) + 3b -6 + ax = (-1bx + 1x) + 3b Reorder the terms: -6 + ax = 3b + -1bx + 1x Solving -6 + ax = 3b + -1bx + 1x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + ax = 3b + -1bx + 6 + 1x Combine like terms: -6 + 6 = 0 0 + ax = 3b + -1bx + 6 + 1x ax = 3b + -1bx + 6 + 1x Reorder the terms: ax = 6 + 3b + -1bx + 1x Divide each side by 'x'. a = 6x-1 + 3bx-1 + -1b + 1 Simplifying a = 6x-1 + 3bx-1 + -1b + 1 Reorder the terms: a = 1 + -1b + 3bx-1 + 6x-1
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