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