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Simplifying 3x + 2 = 2(5z + 8) + -12 Reorder the terms: 2 + 3x = 2(5z + 8) + -12 Reorder the terms: 2 + 3x = 2(8 + 5z) + -12 2 + 3x = (8 * 2 + 5z * 2) + -12 2 + 3x = (16 + 10z) + -12 Reorder the terms: 2 + 3x = 16 + -12 + 10z Combine like terms: 16 + -12 = 4 2 + 3x = 4 + 10z Solving 2 + 3x = 4 + 10z 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 + 3x = 4 + -2 + 10z Combine like terms: 2 + -2 = 0 0 + 3x = 4 + -2 + 10z 3x = 4 + -2 + 10z Combine like terms: 4 + -2 = 2 3x = 2 + 10z Divide each side by '3'. x = 0.6666666667 + 3.333333333z Simplifying x = 0.6666666667 + 3.333333333z
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