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Simplifying 2(3x + 1) = 3(4z + 2) Reorder the terms: 2(1 + 3x) = 3(4z + 2) (1 * 2 + 3x * 2) = 3(4z + 2) (2 + 6x) = 3(4z + 2) Reorder the terms: 2 + 6x = 3(2 + 4z) 2 + 6x = (2 * 3 + 4z * 3) 2 + 6x = (6 + 12z) Solving 2 + 6x = 6 + 12z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6x = 6 + -2 + 12z Combine like terms: 2 + -2 = 0 0 + 6x = 6 + -2 + 12z 6x = 6 + -2 + 12z Combine like terms: 6 + -2 = 4 6x = 4 + 12z Divide each side by '6'. x = 0.6666666667 + 2z Simplifying x = 0.6666666667 + 2z
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