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