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Simplifying 5x + 3y + -6x + 4y + 3z = 0 Reorder the terms: 5x + -6x + 3y + 4y + 3z = 0 Combine like terms: 5x + -6x = -1x -1x + 3y + 4y + 3z = 0 Combine like terms: 3y + 4y = 7y -1x + 7y + 3z = 0 Solving -1x + 7y + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -1x + 7y + -7y + 3z = 0 + -7y Combine like terms: 7y + -7y = 0 -1x + 0 + 3z = 0 + -7y -1x + 3z = 0 + -7y Remove the zero: -1x + 3z = -7y Add '-3z' to each side of the equation. -1x + 3z + -3z = -7y + -3z Combine like terms: 3z + -3z = 0 -1x + 0 = -7y + -3z -1x = -7y + -3z Divide each side by '-1'. x = 7y + 3z Simplifying x = 7y + 3z
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