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Simplifying (a + b) * x = 10 Reorder the terms for easier multiplication: x(a + b) = 10 (a * x + b * x) = 10 (ax + bx) = 10 Solving ax + bx = 10 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 = 10 + -1bx Combine like terms: bx + -1bx = 0 ax + 0 = 10 + -1bx ax = 10 + -1bx Divide each side by 'x'. a = 10x-1 + -1b Simplifying a = 10x-1 + -1b Reorder the terms: a = -1b + 10x-1
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