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Simplifying 2x + 6 + 4z + -3 = 5z + 12 Reorder the terms: 6 + -3 + 2x + 4z = 5z + 12 Combine like terms: 6 + -3 = 3 3 + 2x + 4z = 5z + 12 Reorder the terms: 3 + 2x + 4z = 12 + 5z Solving 3 + 2x + 4z = 12 + 5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2x + -3 + 4z = 12 + -3 + 5z Reorder the terms: 3 + -3 + 2x + 4z = 12 + -3 + 5z Combine like terms: 3 + -3 = 0 0 + 2x + 4z = 12 + -3 + 5z 2x + 4z = 12 + -3 + 5z Combine like terms: 12 + -3 = 9 2x + 4z = 9 + 5z Add '-4z' to each side of the equation. 2x + 4z + -4z = 9 + 5z + -4z Combine like terms: 4z + -4z = 0 2x + 0 = 9 + 5z + -4z 2x = 9 + 5z + -4z Combine like terms: 5z + -4z = 1z 2x = 9 + 1z Divide each side by '2'. x = 4.5 + 0.5z Simplifying x = 4.5 + 0.5z
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