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Simplifying 2z + 7 + -1z + 2x + -3y = 0 Reorder the terms: 7 + 2x + -3y + 2z + -1z = 0 Combine like terms: 2z + -1z = 1z 7 + 2x + -3y + 1z = 0 Solving 7 + 2x + -3y + 1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2x + -3y + -7 + 1z = 0 + -7 Reorder the terms: 7 + -7 + 2x + -3y + 1z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x + -3y + 1z = 0 + -7 2x + -3y + 1z = 0 + -7 Combine like terms: 0 + -7 = -7 2x + -3y + 1z = -7 Add '3y' to each side of the equation. 2x + -3y + 3y + 1z = -7 + 3y Combine like terms: -3y + 3y = 0 2x + 0 + 1z = -7 + 3y 2x + 1z = -7 + 3y Add '-1z' to each side of the equation. 2x + 1z + -1z = -7 + 3y + -1z Combine like terms: 1z + -1z = 0 2x + 0 = -7 + 3y + -1z 2x = -7 + 3y + -1z Divide each side by '2'. x = -3.5 + 1.5y + -0.5z Simplifying x = -3.5 + 1.5y + -0.5z
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