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Simplifying x + -3y + 2z = 11 + -1x + 4y Solving x + -3y + 2z = 11 + -1x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. x + -3y + x + 2z = 11 + -1x + x + 4y Reorder the terms: x + x + -3y + 2z = 11 + -1x + x + 4y Combine like terms: x + x = 2x 2x + -3y + 2z = 11 + -1x + x + 4y Combine like terms: -1x + x = 0 2x + -3y + 2z = 11 + 0 + 4y 2x + -3y + 2z = 11 + 4y Add '3y' to each side of the equation. 2x + -3y + 3y + 2z = 11 + 4y + 3y Combine like terms: -3y + 3y = 0 2x + 0 + 2z = 11 + 4y + 3y 2x + 2z = 11 + 4y + 3y Combine like terms: 4y + 3y = 7y 2x + 2z = 11 + 7y Add '-2z' to each side of the equation. 2x + 2z + -2z = 11 + 7y + -2z Combine like terms: 2z + -2z = 0 2x + 0 = 11 + 7y + -2z 2x = 11 + 7y + -2z Divide each side by '2'. x = 5.5 + 3.5y + -1z Simplifying x = 5.5 + 3.5y + -1z
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