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Simplifying xa + -4bx + 8mc + -8mx = 0 Solving ax + -4bx + 8cm + -8mx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4bx' to each side of the equation. ax + -4bx + 8cm + 4bx + -8mx = 0 + 4bx Reorder the terms: ax + -4bx + 4bx + 8cm + -8mx = 0 + 4bx Combine like terms: -4bx + 4bx = 0 ax + 0 + 8cm + -8mx = 0 + 4bx ax + 8cm + -8mx = 0 + 4bx Remove the zero: ax + 8cm + -8mx = 4bx Add '-8cm' to each side of the equation. ax + 8cm + -8cm + -8mx = 4bx + -8cm Combine like terms: 8cm + -8cm = 0 ax + 0 + -8mx = 4bx + -8cm ax + -8mx = 4bx + -8cm Add '8mx' to each side of the equation. ax + -8mx + 8mx = 4bx + -8cm + 8mx Combine like terms: -8mx + 8mx = 0 ax + 0 = 4bx + -8cm + 8mx ax = 4bx + -8cm + 8mx Divide each side by 'x'. a = 4b + -8cmx-1 + 8m Simplifying a = 4b + -8cmx-1 + 8m
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