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Simplifying 3x + -7y + -2x + z + -4z + 3y = 0 Reorder the terms: 3x + -2x + -7y + 3y + z + -4z = 0 Combine like terms: 3x + -2x = 1x 1x + -7y + 3y + z + -4z = 0 Combine like terms: -7y + 3y = -4y 1x + -4y + z + -4z = 0 Combine like terms: z + -4z = -3z 1x + -4y + -3z = 0 Solving 1x + -4y + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 1x + -4y + 4y + -3z = 0 + 4y Combine like terms: -4y + 4y = 0 1x + 0 + -3z = 0 + 4y 1x + -3z = 0 + 4y Remove the zero: 1x + -3z = 4y Add '3z' to each side of the equation. 1x + -3z + 3z = 4y + 3z Combine like terms: -3z + 3z = 0 1x + 0 = 4y + 3z 1x = 4y + 3z Divide each side by '1'. x = 4y + 3z Simplifying x = 4y + 3z
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