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Simplifying 2x + 5z + -8y = 3z + 4y Reorder the terms: 2x + -8y + 5z = 3z + 4y Reorder the terms: 2x + -8y + 5z = 4y + 3z Solving 2x + -8y + 5z = 4y + 3z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 2x + -8y + 8y + 5z = 4y + 8y + 3z Combine like terms: -8y + 8y = 0 2x + 0 + 5z = 4y + 8y + 3z 2x + 5z = 4y + 8y + 3z Combine like terms: 4y + 8y = 12y 2x + 5z = 12y + 3z Add '-5z' to each side of the equation. 2x + 5z + -5z = 12y + 3z + -5z Combine like terms: 5z + -5z = 0 2x + 0 = 12y + 3z + -5z 2x = 12y + 3z + -5z Combine like terms: 3z + -5z = -2z 2x = 12y + -2z Divide each side by '2'. x = 6y + -1z Simplifying x = 6y + -1z
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