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Simplifying ax + 8 = -3ax + 12 Reorder the terms: 8 + ax = -3ax + 12 Reorder the terms: 8 + ax = 12 + -3ax Solving 8 + ax = 12 + -3ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3ax' to each side of the equation. 8 + ax + 3ax = 12 + -3ax + 3ax Combine like terms: ax + 3ax = 4ax 8 + 4ax = 12 + -3ax + 3ax Combine like terms: -3ax + 3ax = 0 8 + 4ax = 12 + 0 8 + 4ax = 12 Add '-8' to each side of the equation. 8 + -8 + 4ax = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4ax = 12 + -8 4ax = 12 + -8 Combine like terms: 12 + -8 = 4 4ax = 4 Divide each side by '4x'. a = x-1 Simplifying a = x-1
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