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Simplifying 6ax + 6 + -4bx + 12 = 3cx Reorder the terms: 6 + 12 + 6ax + -4bx = 3cx Combine like terms: 6 + 12 = 18 18 + 6ax + -4bx = 3cx Solving 18 + 6ax + -4bx = 3cx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 6ax + -18 + -4bx = -18 + 3cx Reorder the terms: 18 + -18 + 6ax + -4bx = -18 + 3cx Combine like terms: 18 + -18 = 0 0 + 6ax + -4bx = -18 + 3cx 6ax + -4bx = -18 + 3cx Add '4bx' to each side of the equation. 6ax + -4bx + 4bx = -18 + 4bx + 3cx Combine like terms: -4bx + 4bx = 0 6ax + 0 = -18 + 4bx + 3cx 6ax = -18 + 4bx + 3cx Divide each side by '6x'. a = -3x-1 + 0.6666666667b + 0.5c Simplifying a = -3x-1 + 0.6666666667b + 0.5c Reorder the terms: a = 0.6666666667b + 0.5c + -3x-1
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