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Simplifying (12b + 12a)(2x) = 0 Reorder the terms: (12a + 12b)(2x) = 0 Remove parenthesis around (2x) (12a + 12b) * 2x = 0 Reorder the terms for easier multiplication: 2x(12a + 12b) = 0 (12a * 2x + 12b * 2x) = 0 (24ax + 24bx) = 0 Solving 24ax + 24bx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24bx' to each side of the equation. 24ax + 24bx + -24bx = 0 + -24bx Combine like terms: 24bx + -24bx = 0 24ax + 0 = 0 + -24bx 24ax = 0 + -24bx Remove the zero: 24ax = -24bx Divide each side by '24x'. a = -1b Simplifying a = -1b
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