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Simplifying 4y + -3x + 8z + -3 + -2z + 5x + -8y + -9 = 0 Reorder the terms: -3 + -9 + -3x + 5x + 4y + -8y + 8z + -2z = 0 Combine like terms: -3 + -9 = -12 -12 + -3x + 5x + 4y + -8y + 8z + -2z = 0 Combine like terms: -3x + 5x = 2x -12 + 2x + 4y + -8y + 8z + -2z = 0 Combine like terms: 4y + -8y = -4y -12 + 2x + -4y + 8z + -2z = 0 Combine like terms: 8z + -2z = 6z -12 + 2x + -4y + 6z = 0 Solving -12 + 2x + -4y + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2x + -4y + 12 + 6z = 0 + 12 Reorder the terms: -12 + 12 + 2x + -4y + 6z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x + -4y + 6z = 0 + 12 2x + -4y + 6z = 0 + 12 Combine like terms: 0 + 12 = 12 2x + -4y + 6z = 12 Add '4y' to each side of the equation. 2x + -4y + 4y + 6z = 12 + 4y Combine like terms: -4y + 4y = 0 2x + 0 + 6z = 12 + 4y 2x + 6z = 12 + 4y Add '-6z' to each side of the equation. 2x + 6z + -6z = 12 + 4y + -6z Combine like terms: 6z + -6z = 0 2x + 0 = 12 + 4y + -6z 2x = 12 + 4y + -6z Divide each side by '2'. x = 6 + 2y + -3z Simplifying x = 6 + 2y + -3z
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