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Simplifying 2x + 2y + 2z + -6000 = 5000 Reorder the terms: -6000 + 2x + 2y + 2z = 5000 Solving -6000 + 2x + 2y + 2z = 5000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6000' to each side of the equation. -6000 + 2x + 2y + 6000 + 2z = 5000 + 6000 Reorder the terms: -6000 + 6000 + 2x + 2y + 2z = 5000 + 6000 Combine like terms: -6000 + 6000 = 0 0 + 2x + 2y + 2z = 5000 + 6000 2x + 2y + 2z = 5000 + 6000 Combine like terms: 5000 + 6000 = 11000 2x + 2y + 2z = 11000 Add '-2y' to each side of the equation. 2x + 2y + -2y + 2z = 11000 + -2y Combine like terms: 2y + -2y = 0 2x + 0 + 2z = 11000 + -2y 2x + 2z = 11000 + -2y Add '-2z' to each side of the equation. 2x + 2z + -2z = 11000 + -2y + -2z Combine like terms: 2z + -2z = 0 2x + 0 = 11000 + -2y + -2z 2x = 11000 + -2y + -2z Divide each side by '2'. x = 5500 + -1y + -1z Simplifying x = 5500 + -1y + -1z
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