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