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Simplifying 3z + 8 + (-2x) = 12 Reorder the terms: 8 + (-2x) + 3z = 12 Solving 8 + (-2x) + 3z = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + (-2x) + -8 + 3z = 12 + -8 Reorder the terms: 8 + -8 + (-2x) + 3z = 12 + -8 Combine like terms: 8 + -8 = 0 0 + (-2x) + 3z = 12 + -8 (-2x) + 3z = 12 + -8 Combine like terms: 12 + -8 = 4 (-2x) + 3z = 4 Add '-3z' to each side of the equation. (-2x) + 3z + -3z = 4 + -3z Combine like terms: 3z + -3z = 0 (-2x) + 0 = 4 + -3z (-2x) = 4 + -3z Divide each side by '-2'. x = -2 + 1.5z Simplifying x = -2 + 1.5z
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