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Simplifying 3x + -5y + 2z = 22 + -5x + -3y + 4z Solving 3x + -5y + 2z = 22 + -5x + -3y + 4z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3x + -5y + 5x + 2z = 22 + -5x + -3y + 5x + 4z Reorder the terms: 3x + 5x + -5y + 2z = 22 + -5x + -3y + 5x + 4z Combine like terms: 3x + 5x = 8x 8x + -5y + 2z = 22 + -5x + -3y + 5x + 4z Reorder the terms: 8x + -5y + 2z = 22 + -5x + 5x + -3y + 4z Combine like terms: -5x + 5x = 0 8x + -5y + 2z = 22 + 0 + -3y + 4z 8x + -5y + 2z = 22 + -3y + 4z Add '5y' to each side of the equation. 8x + -5y + 5y + 2z = 22 + -3y + 5y + 4z Combine like terms: -5y + 5y = 0 8x + 0 + 2z = 22 + -3y + 5y + 4z 8x + 2z = 22 + -3y + 5y + 4z Combine like terms: -3y + 5y = 2y 8x + 2z = 22 + 2y + 4z Add '-2z' to each side of the equation. 8x + 2z + -2z = 22 + 2y + 4z + -2z Combine like terms: 2z + -2z = 0 8x + 0 = 22 + 2y + 4z + -2z 8x = 22 + 2y + 4z + -2z Combine like terms: 4z + -2z = 2z 8x = 22 + 2y + 2z Divide each side by '8'. x = 2.75 + 0.25y + 0.25z Simplifying x = 2.75 + 0.25y + 0.25z
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