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Simplifying x(a + b) = 15 (a * x + b * x) = 15 (ax + bx) = 15 Solving ax + bx = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bx' to each side of the equation. ax + bx + -1bx = 15 + -1bx Combine like terms: bx + -1bx = 0 ax + 0 = 15 + -1bx ax = 15 + -1bx Divide each side by 'x'. a = 15x-1 + -1b Simplifying a = 15x-1 + -1b Reorder the terms: a = -1b + 15x-1
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