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Simplifying 7ax + 12 = 4(ax + 8) Reorder the terms: 12 + 7ax = 4(ax + 8) Reorder the terms: 12 + 7ax = 4(8 + ax) 12 + 7ax = (8 * 4 + ax * 4) 12 + 7ax = (32 + 4ax) Solving 12 + 7ax = 32 + 4ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4ax' to each side of the equation. 12 + 7ax + -4ax = 32 + 4ax + -4ax Combine like terms: 7ax + -4ax = 3ax 12 + 3ax = 32 + 4ax + -4ax Combine like terms: 4ax + -4ax = 0 12 + 3ax = 32 + 0 12 + 3ax = 32 Add '-12' to each side of the equation. 12 + -12 + 3ax = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 3ax = 32 + -12 3ax = 32 + -12 Combine like terms: 32 + -12 = 20 3ax = 20 Divide each side by '3x'. a = 6.666666667x-1 Simplifying a = 6.666666667x-1
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