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